{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Active Subspaces Example Function: Piston Cycle Time\n",
    "\n",
    "##### Ryan Howard, CO School of Mines, <ryhoward@mines.edu>\n",
    "##### Paul Constantine, CO School of Mines, <pconstan@mines.edu>\n",
    "\n",
    "<br>\n",
    "\n",
    "In this tutorial, we'll be applying active subspaces to the function\n",
    "\n",
    "$$\n",
    "C = 2\\pi\\sqrt{\\frac{M}{k+S^2\\frac{P_0V_0}{T_0}\\frac{T_a}{V^2}}},\n",
    "$$\n",
    "\n",
    "where $$\n",
    "V = \\frac{S}{2k}\\left(\\sqrt{A^2+4k\\frac{P_0V_0}{T_0}T_a}-A\\right),\\\\\n",
    "A=P_0S+19.62M-\\frac{kV_0}{S},\n",
    "$$as seen on [http://www.sfu.ca/~ssurjano/piston.html](http://www.sfu.ca/~ssurjano/piston.html). This function models the cycle time of a piston within a cylinder, and its inputs and their distributions are described in the table below.\n",
    "\n",
    "Variable|Symbol|Distribution (U(min, max))\n",
    ":-----|:-----:|:-----\n",
    "piston Weight|$M$|U(30, 60)\n",
    "piston Surface Area|$S$|U(.005, .02)\n",
    "initial Gas Volume|$V_0$|U(.002, .01)\n",
    "spring Coefficient|$k$|U(1000, 5000)\n",
    "atmospheric Pressure|$P_0$|U(90000, 110000)\n",
    "ambient Temperature|$T_a$|U(290, 296)\n",
    "filling Gas Temperature|$T_0$|U(340, 360)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "import active_subspaces as ac\n",
    "import numpy as np\n",
    "%matplotlib inline\n",
    "\n",
    "# The piston_functions.py file contains two functions: the piston function (piston(xx))\n",
    "# and its gradient (piston_grad(xx)). Each takes an Mx7 matrix (M is the number of data\n",
    "# points) with rows being normalized inputs; piston returns a column vector of function\n",
    "# values at each row of the input and piston_grad returns a matrix whose ith row is the\n",
    "# gradient of piston at the ith row of xx with respect to the normalized inputs\n",
    "from piston_functions import *"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "First we draw M samples randomly from the input space."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "M = 1000 #This is the number of data points to use\n",
    "\n",
    "#Sample the input space according to the distributions in the table above\n",
    "M0 = np.random.uniform(30, 60, (M, 1))\n",
    "S = np.random.uniform(.005, .02, (M, 1))\n",
    "V0 = np.random.uniform(.002, .01, (M, 1))\n",
    "k = np.random.uniform(1000, 5000, (M, 1))\n",
    "P0 = np.random.uniform(90000, 110000, (M, 1))\n",
    "Ta = np.random.uniform(290, 296, (M, 1))\n",
    "T0 = np.random.uniform(340, 360, (M, 1))\n",
    "\n",
    "#the input matrix\n",
    "x = np.hstack((M0, S, V0, k, P0, Ta, T0))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we normalize the inputs, linearly scaling each to the interval $[-1, 1]$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "#Upper and lower limits for inputs\n",
    "xl = np.array([30, .005, .002, 1000, 90000, 290, 340])\n",
    "xu = np.array([60, .02, .01, 5000, 110000, 296, 360])\n",
    "\n",
    "#XX = normalized input matrix\n",
    "XX = ac.utils.misc.BoundedNormalizer(xl, xu).normalize(x)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Compute gradients to approximate the matrix on which the active subspace is based."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "#output values (f) and gradients (df)\n",
    "f = piston(XX)\n",
    "df = piston_grad(XX)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we use our data to compute the active subspace."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "#Set up our subspace using the gradient samples\n",
    "ss = ac.subspaces.Subspaces()\n",
    "ss.compute(df=df, nboot=500)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We use plotting utilities to plot eigenvalues, subspace error, components of the first 2 eigenvectors, and 1D and 2D sufficient summary plots (plots of function values vs. active variable values)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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GmIXu5euBFcCorAqlKpjWrVsTHx/P7t27+e9//8tLL71E5cqV2bdvHydPnmTHjh2Ehoay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\nOZVKsXz5coCD/eBQSmnPciKwDqh19/bs9iSwBhji7ulefu7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      "text/plain": [
       "<matplotlib.figure.Figure at 0x1106a0990>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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GEhISQrNmzeSX0kUcOnSIjz/+mEceeYT+/fu7/FZqAj766CP8/f159913HR1K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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1106a06d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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8QIn0f6E81S12IXmeXbRq1aoVDz74IFdffTWrV6+mdu3aTocUU+bPn8/u3bvp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\nGWOM8TwrdsYYYzzv/wHhTgb8ypLS5AAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1130b0290>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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/fSiJE2oaI34+CRhn/5yqQICznBlu8XXiiZ/lkUeWs3DhPE8HWVvbQE5OOYsW\nTWbnziN9PkvYZ59QSuN7WtpOnaSiKEoXSEU9J10SbKFQiKqqOn7603XAwSle7URcqQoExIqsJ3JM\nTmZqS8sKu0ZyIiLk7mOGgSamTh3X63ZNhJaAKIqidIFUekUGgyVs2uS9LOmX2toGKiqepLV1Dh0d\nDyJlHqnowJbZ48sR1R2/RI8PBJq46aZmAoHhMUX+hYV5nHrq9S6bxCs9iSUYLOHpp0s55ZSfpcWu\nWgKiiTuKovQhtbUNJisrcQJMVla1qa1t6NZz1qxZ53pOaZySjnjHcwbqIq71nxjjHj927Bxz7LFX\nexb5jxlzmbGsKo97NCRNFIq0U7rsShoSd/rcuaXrUCep9XHGqA2MURsY07s26Cn1HAfvOsNaIzWM\nieoJN0b8vNRAKOLaVJ2r1FNa1kwTCFQmuSYyKzbySC1DNh12TYeT1OxWRVGUbuD0ivSrr5oMt17p\n9u1v8NJLE5BlSyfzMx9ZwpwC1CCZqN5Y1k3AZzDGmYdzrZ99ybXAqcA1wAUYM5mOjsVJronMio38\n7tEZshDgkEO28NOfnuNpp3TbtavonqSiKEocekNgO/IZW7f+mzfeGMbu3VdgTKToeDPisE5DnA2I\nnNxbQDbwBJKJmhN1TSBwO/Pnj+XJJ9tde3zOtfGdK9wCPAZ8DVhEKhJ1Mt8Xie43GUtubhmPPJLK\nvmpqpGNPUp2koiiKB9GJMmHHEAg0M378WkpLT0uoG5r6M95A1HESOa4axCmeiURjjwMfAwchTZ32\nBUYA7zFmzJtcf/1cLrnkPOrqHmLx4rdcWqgNeDvXZ4HfIJqvfyOccOMk/vgl8fhEWq/pIh1OUktA\nBhFaH6c2ALUBdN8GsWUMYTo6cmhpWcGSJduprW1I0zMmIu2rEjlI7M/XA6VIVHcX8EtEKKAQeINh\nw/7CpEkfkZ9/DHPnzgSgoCCPyspsV2/KWcAyLGsD++57PpMmLWTSpEuwrEeBZUAb0fWUqRbtJx5v\nWT9n5MiRKd6z91EnqSiKEkEoFKKi4smEHSgAduwooqLiCdrb29PwjFQK/IsRcQD3sufJQB17917I\n5s3ncuedE8jJKe905IWFs9i0aRm33voiubllTJtWTm7uMqqqjmDnzjr++c/VHHnkoRjzA2Qv0a31\n+qr9WofsjyYjUZF/DR0d53DDDU91yX69Snczf/rLgWa3KoqSBlaurI3JqIx3BAJNZtWqujQ8o3tl\nGbFHOJsOeRXGAAAgAElEQVQ1K6vad4ZtdD/Ki01Y6zXy3k0muruI1/F3A9+Kc+3Szmu7aj+/kIbs\nVo0kFUVRIli/fkvMEms8OjpyeOihWEWa1J+R3qXMSDm5VCLesNReA3Aish/ptkUO0d1FvLgPuAdJ\n3ilDsmnL7PfLcJKPumq/3kSd5CBC96LUBqA2gO7ZoLvC5Y503IwZsqQ5Y0YZVVV1hEKhiDHuZ6Sq\nP5psfA6wofOd35ZSM2dOZNiwp5H90UVJRhchiT/Rznf48FuB04EDcLReRbFnuf0+unSjpwXKu0uv\nO0nLskZYlnWXZVk7Lct607KspXHGbbQsa6/H8cfenrOiKEOH7giXRwp7b9iwnMbG69iwYTmLFk2O\n2h+MfYZ/fVNoAvzolYZ/vfuN2IqL8xk9+ka6IoAeCDQRDJYwceJzQJ7P63teoLy79EUkeROSW/xV\n4DKgzLKs2R7jzgXGRhxfBz5BuoAqHkydOrWvp9DnqA3UBtA9G3RVuNxPRmxRUSuFhddw5pnHuJ6R\nj9RB+mGtPT4ZR0S98xOxZWZmkp19CKkJoN/PCSdcym23/ZNNm5ZRXDy9XwmUd5vubmqmciBFPLuB\naRHnSoHHfVz7N+DnCT5Pz06voiiDmra2NrNyZa3JzS01U6dea3JzS83KlbWmra2t8/NYGTjvIxhc\nakKhUErXwPfMMcdcacaNu9x1Prm+Kdxuj0v2jEitVjn8Nn2OTt5Jfkya9N0Y+6Zqv56CAZi4cyJS\n6fqXiHNPAl+0LCtuwadlWXOAY5GdXyUOuhelNgC1AcS3gZ/l0MzMTMrKppCVVZPwGVlZNZSVnU5G\nRgbV1fW0tvpdoryEV175Eh99NJLMzFvtcyHgfUQc4BKkoD+SZuBq5Neln6XMtUBW57tUIrZUl5uP\nPDK6ZVdX7Nef6W0nOQ7YaYzZE3FuO+I4xyS47ofA7caYHT05OUVRBi+pCAR4F98LgUAzwWAJlZXZ\nFBSIw0olI9bp0bhr11RCoReAsxGt08nAGuAOpEbxe8CFwKVIVmgFsldYleT+NUjizIjOM+PHr6Wo\nyM8SbXr6ZKZqv/5Mr8rSWZZVAFxvjDki4tzRQCtwtDHmdY9rTkMEBI82xryZ4N6mN7+LoigDh670\nfjTGcMcda6mufoLt2z8B9jBmjMVll53F5ZfPjYqATj+9lCeemIQ4twCSfToR2Tv00ngtQ6LFfYCZ\nwOUJZuRI0TkSeNcC/wKW4NZqhV8houdhubysrLu4+eZDfTukdPbJbG9vtwXKN7sEyvN7JYIccP0k\nkX8xb7vOTUT+RY2Oc81K4BEf9+7O0rWiKIOYVAUCCguvMcFgSZw2TSVRxflr1qwzo0YtSLHoPs/A\nTSZxq6vIwxEHaDOWVWzgtwa+a0RU4LsG8g1cb8LtsIyBZ8zYsd/pUquu3uqT2dOQhj3J3m6V9R/g\nYMuy9jHGfGqfG4sU2uyMc80M4AY/N58/fz5HHXUUAAcddBA5OTmdWW7OHsVgft/c3MxVV13Vb+bT\nF++dc/1lPn3x3m2Lvp5PX7y/9dZbo/7/r639PR0dhxOm0X6dGvO+oyOH2torgKOBB4FfAy8DGXR0\nTKClZTiXXlrDP/7xHJ/73EksWbKdjz++CNlTdN9/BRIJ/gz4iv2854BtyK+8Oa7xsfMRjgWuYNiw\nN9i7twLYBRxmP7MYeBv4M1KovxuJUvdwzTWXUVg4i8bGRvbs2UNLy9usX7+FbdveYMSIvRQWnkVx\ncT5PPfVUlP0OP3w/iore5re/LaG1dS4dHe93zicQaObQQ/+bgoLPUVBQ5Gn/vvz/v7Gxka1bt5I2\nuutlUzmAkYhk/ekR534MPBFn/H8Be4Fjfdw7PX96DGC02a7awBi1gTGxNkg1YxMW2a/r7GjvuZgo\ncfjwAjN2rDtDNVkkaAxcZKRhcmpSdMOGfdPAD1znQ0ayWEsNXGu/1tnnN3ZmtEoDY3+RcSShUMhU\nVdWZ3NxSM22aZAKvWlXXoxmp6YQ0RJK93irLsqw7kEXzBUgizxrg28aYByzLygY+MMaE7LFnAL83\nxiRt3KZ7kooytEnU+/Hcc5ezYUOqbZ5OIXHrqjqkqP8LPu7n9Fd8G5Fs2whcjyjR+KUc+NR+pr+9\nz2nTylmw4GSWLNmeULA9K6uGysrsbrf+6m8MyH6SlmWNBG4HvgV8CNxkjLnV/mwvMN8Ys8Z+Pxuo\nMsZk+7ivOklFGaIk6/34xS/C2rVzfGagNiFObQvhXopepNpf8XzgIiQ2uB94D2l15ZdLESd5JbEJ\nO+6GzMKZZ/6Q11/f6yMJJ8SYMQXk5Exgz54Rns2le6MBdboZcIk7PXmgy626zGbUBsYMPRusWbPO\nI8lkoyvJ5Odm7Ni5KSyN3mNiE3HcR6pLuGWu95cbeNbntc/Y4xONqTaRSULDht1l8vOv9JGw5L2k\nHLkU29Xl2r6GAZi4oyiKkjbCfRkTR0o7dlzKuHHNjB59B++8k6zc4nTgKWRHqPNJiEZp5DJn3Iq0\nOLhXum5GSj/u9XFtFfDzJGOKkHrL6UAGhx32GB9+eFSS6LkBWVKOtZ/UjuawcOFi4LPs2hV/zJIl\nNUDDoFuuBe0CMqhwMr2GMmqDoWWD+Eo3U2POvP32pcyY8ZpngTs8gziYbETRJlLntAHZD5xMdEeL\nCcQq48TjWWJFyTORRsnJxAFutMf5qSsUwfGsrBp+9rMC9uxJdE0IUfBJ1Fw6xK5dw9m164qET+1O\nA+r+jjpJRVEGLKn2ftyxYx82bVrGrbe+SG6utLLKzS1j1KgSIvschltRRUZa7ucsQpJw/LAy4t4h\nJOmnDEnkeRRJvHnadc2ziETd00BiJxUmh+HD6zvVbBJLzNWTvNuHnzGC33ZcAw11koOIyFqhoYra\nYGjZIH7vx0bPs6L6ksEVV8zjkUeW86c/XccjjyznzDMnAZWEGwS/iUSLjcSPtDKRRP3EGqUiM5eB\nONwHgKuQqNKJStchfR7uRRJ7FgPnIMuxdwDHJ7l/NKeeelxnbWRiibktJO/24WeMMBAaKHcFdZKK\nogxYutP70aG2toHnn89E9vIcx3UPkItkkzYkuGMeskR7JSISEEkzsoR7OCJN3QC8DtxJbNnI5+3z\nnwP+jUSav0Sca2rfcdSocDJncXE+48fHa8Hlp9lx9xpQDwbUSQ4ihtJeVDzUBkPLBvEjpakxZ7zE\nuB3R81deqUT2/SI5GbgNWW5N5ChnIfuGNxCORMuQukhnCTeAJO4sSvKNrgaOInr/cSJ+9z4jv+PU\nqVOTdOTw43y7/0fIQEedpKIoA5bEkVI07k4Y4czYRIkrIMutTyDqmfHIAIJEJ/bMI+zsOpCI0w9z\nkL1AYdiw8WRnV/u60qvbR/yOHBORmtBETEQi4uQMiAbKXUCd5CBiKO1FxUNtMLRsED9Saox659W7\nMLUekJI1mhivKCqEKOu8gjjZMmQpNZTgPp8Hwnt7Eyb8luuvPyvl/oyR/w4KC2fFJCydeeYLZGcn\nKyvJR4QKkpNKO66BhNZJKooyoCkoyMOYBioqHDFut+LOrygtnRLTKkoyYwt8PiWHxE6yidgSjwak\nxGI20hLXoRlZko1VyAkTsOd/C1On7seCBeeyzz6pf8dkKjl1dQ+xeHFNgmg6k/33/xRYza5dC+N+\n+4HSQLkr9LosXU+hsnSKMrRJtXfhtGnlNDamqp0ab7xTQuI8xykdSbSU6+4TGcmVONmzWVnbO3VV\nU/mOyaT6SktPo7Bwlj3uiYTOF0g6pj8KCQxI7daeQp2koiipMGNGWRdEz73G3wwMB75nvw8B1yBJ\nP8lwO1eAvyNLsjd0nh858hKmTBlDXt5kX1qpTkKSX1FzP863rxsodwV1khGok5Q9iKGU2eiF2mDo\n2cBrSXHCBMMNN/w4oTMpLLyGurrZ+Ovi8QzwR+AHEeeagV8BpyK9Gh4HPkCEy28gNlvWC6c7yLyI\nc99BHGxGzLhA4PioKNCLUChETk45LS0z8MryjSQYLGHTpmX91sl1l3Q4Sd2TVBRlwBK9pBjeX/zD\nH2r4wx/KO52J25G+++42XnkFpKGyHyf5a0SWroywduskoqPA+ciSbAf+HCTE7nXeApxFrASdjOvo\nmJdUKzWckPR+zGduHJWchQvnJR07VNFIUlGUAUnyJcUQo0Yt5uCD3+Tddw+hrW0h0Q6xGalv/DKJ\nZd9qgLGIcEAyHCea6l7nucBq4Ajg2gTjwveNFwWmuoycm1vGI4+ksuw8cEhHJKklIIqiDDiS1ziK\nKPnHHx/Hv/+dR1vbPcRGjDmIqs2rSDcOdz1gM3AZ0IY/B+lkuKZaUP88sow7Ein/iEf0feNppcaX\n6vPmlVd2EAolKkkZ2qiTHEQMpfq4eKgNhoYNvGscHeHwSxGJt2FIvWSyMo+bEQfVjESClyHZpS8i\ne4v/TnK989yfIVqnbyK1kX4czzNI9PgFRAQ9nmhBbIlJPK3UsFRfo4/nw8svj2D06O8yadJ8Zswo\no6qqTp1mBOokFUUZcMR2/3DaWR0P3AUsRRxVqX0+kawciLD4cCR79TbEac4DDiSxiLnz3OOA+5E9\nynsQHVg/z70PccTOimA80YK1SGF/NF5aqYlFzd00Aafy8cf3sGXLaWzYcAqLFk0mJ6ec2tpkcx8a\nqJMcRAyljMZ4qA2Ghg2ilxQj21k5y5VT7dfP2+eT6a/mAC/YP7u7ezgi5iVEy7g1IFHmCuAk1/2+\n4OO5ToPnFxAhdWce7ujQGRebgeqllRqW6psa57mRRDpfkd/r6JhES8sKlizZro4SdZKKogxAwkuK\nfhoHQ2L9VWe59AVgIbLk+j5wMLLs+n9IaccwJNHnPMRx3o/sZSZ77qOu5zrdQZwGz78B9kSMCcQZ\nF008rdTEouaReDnfcCTrt5FyKBSiqqqOGTNE7m7QLdkaYwbFIV9laLNx48a+nkKfozYYGjZYubLW\nBAJNBmoNNBkwrmOjx7kmA3Wuc+sMlHjco8k+P93AhQaecX1e4XEu3vF3AzMNXGug1J5DyP6s2kCD\n/bx77O+Ta6DAwAL7XJvnfYPBpSYUCsW10Q9/WGGCwaUe82wysNT+7l7zLe38ORBoMqtW1cV9xpo1\n60wwWGL/tzBR1wWDJWbNmnU98Z/fN7Zf6JZv0TpJRVEGHMXF+axeXU5Ly3CSJ+Y4uGsSI5dpvcbm\nIMk0RyPLpyH7+i3Aa8BuZGk0H1mijcfJwDFEl4U4QgRTkCixAYl0vwc84hoXq/PqRyt1+vSvUF7+\nZSZPXkBr62eJX9/pJryULclB9Sz0kG0Nl+DE2q+jIydpPedAQeskFUUZkNTVPcSCBb/j00/9tZES\nnFrDkP2zl4N0U4Ko6jyNtLGKTBhqRvb1EomVg2TMZhHtqPIRR+VH5/UWYBNwAGPGvMnPfjaHb3/7\nWzGjvNSHXnvtTTZvvsfH93SIlt+bNq2cP/0puu4zrOqT3H59qeqjijuKogwJ4nWzCAYNL76Yyp2c\nvcx6xOH54TPAf0gccUrEFN9RZuGt++rsqSZzNotwdF7fffef3HjjrxkxYkRnhBYKhSguLue3v32V\n3buPAPYFjkSyZl+xrx+F9IfMAx5CImLHaU9EnPZm3KUmXslBqbQZG/CqPt1dr+0vB7onOST2opKh\nNhh8Nki07zVmzLfi7A167Uk+G7EnWerxudfRZu9N+hm7NGKvMfJ4zmMv1Dni7al6Hc6eapuBWjN8\n+EVm0qTvmhNOKDT77z/fZYd1Bs7zsM2zBuYbqPK4d4mBOVHfIRB4znNPMjfXr/3kyM0t7YN/OSYt\ne5Ka3aooSr/F2fdqaVnhqouUfa+3365DhAP8sBJRtylH9hT9kErEmVqNo7CF6OXbROQAf0bmP5lP\nPvkFmzfn8vzzp7Nr172EFYWc5dvvEasydBJwL7KHGlnekYNEs/8P+EPn2XiNlFNV9fGq5xwoqJMc\nRAyF+rhkqA0Gjw2SS8+B/LI/AlHNiWSq630NcADiBK5Dyjv8kKoTc9c4rkaWMzMIl5qUIY6uDFkK\nTaVUwiDOLAfv8pfIc1MT3CdeSczCzvOJkoPCJTj+8FqyHSiok1QUpV/ib98rhNQwPovs2Xnprzq1\nhiuRSKwdkY5rIjmpRkDO+Ofs545FUj/ORGoqJyF7k9fZr0vwp8zjkB3xs1eUm47Idw5jxsyjsjKb\nggJvzdpUVH3i1XMOFNRJDiKGgmZnMtQGg8cGsdJzXtQDoxEZumWI3moZcLH9+qJ93kmomYt0/JiL\ntL9KRqoR0CZEO/Y+ZEn3cSTSvQBZ5nQvf56MRIZbgQeS3Ps5opNqvKLcyHONSe7nFfkCfJ6cnAkJ\nyzbCqj7JibdkO1BQJ6koSr/E377XFuBj5Bd+BqK3uhxYYL/OI7oe8CRgG1L7mEiT1eFNJEr1QxNw\nPnAQ8CXga4gDfIPkikDfQ6LJ3yYY82ui9za97NPVyDeaTz4ZkfAqv6o+fuo5+zvqJAcRg2Uvqjuo\nDQaPDfztewXw/kU/NcE1nwf+CaxB9u8uRrpxRPIcUAycjUSFfnASdObYP19KasufVwF/xHvp9VZi\nJeS87BN5bqqPZ3rb2M8eYkFBHpWV2QSDJTFLr4FAM8FgScIl24GC1kkqitIvmTlzIhs2PEvsEmUk\nXUkIMUiE+WdEJOAlZP8wE/gioqPaiiTZZNjHLUitYTwidVA/D4yzz28hNUWgQ5DEmen2vZqRriL/\nQpxoJBPtz3OSnItHbPstSG0PsbBwFrNnT6e6up6HH66nvT1ARkYHeXmTKCrqGwGBdKOR5CBisOxF\ndQe1weCxQXFxPqNGrU4yaiJSJO9OImmMM/5Zwo4hw35vgK8A/4U43d3A1YSjtjxkrzFZYlBkxORk\nz3Zl+fMCYD7hPdUb8f6O+UjEGu9cY5JneZempLqHmJGRwRVXzOORR5bzpz9dxyOPLGfhwnmDwkFC\nHzhJy7JGWJZ1l2VZOy3LetOyrKUJxgYty3rMsqyPLcvaYlnWeb05V0VR+o7MzEzOO28McEeCUflI\n1Oc4BqfM4m7CZRZ1hMssHMfQhDie/RCntByotV8vQvYGI5c9Dyc6Mci5tzsxyGGP/ZpqpNuBRM7H\nEL2negyxDtHd0iveOS+8228Nhj3EdNPr2q2WZa0EzkA2Ao5A/gUXG2Puc40bhaxV/BH51zITuAk4\n0RizxeO+pre/i6IoPYMjQ9fQ8CKNjZv45JNsJLklsm+jIxK+H1I8n4E0To6nr7oLKcm4FslunYrs\nG8ajBokQZyG/pibjbxnzOaTh80VIeYrf65rsuQ5HHPREwpJxDyJ1npORspFIHHH0uRHPaUBadF2E\nZNAKw4Y9RyCwkk8/PRljrug8Hwg0M378rygtnTKgxcjdpEO7tVedpGVZ+wLvAGcbYzba50qBs4wx\np7vGfhf51zDBGLPXPrcO+J0x5m6Pe6uTVJRBQG1tAxUVT9LaOieiBOQDpLfjO4iz6ED2/X6KLJd+\nAziHWAcSySqkN+SpQAtS6J8M0UuVZ6QiiL4MiUwPBv7m87rLEc3VQqKdahOwmrFjd3P22eNZs+Z1\nPvnkSqL/YHgKiSEOQezSQVbWi5SUnM1jj22N2issLJzFmjUNPPzwZtceYv6giyAHopP8MvInz77G\nmD32uTOADfY5EzH2fuDfxphEu+WR9x7yTrKxsXHQZDZ2FbXBwLZBuP1SZMlEA5KF6hUh3gv8Ffgy\ncFvEZ414Z3deCfwbiSYTRXdOW6y/IeIDWcAnwFEkbrRcg0Srzv5kiT23fyORcDxWIck5lXFHZGXd\nxXnnbeN3v9vGW28dBXxEWKB8P2AH8p1nkZVVQ3HxDioqfpjgmYOfgdgFZByw03GQNtuBEcAY+2eH\nY4Amy7JWA+ciBUvlxpiHe2uyiqL0HmEZusioK1nPx9uQJJeLfT5lPuKsJiJLqF6dMB4l7JQjM1Ob\ngbuQZc0SYh12ZH9Ih7nIvuWh9rOv8riuDqnd/GXCme/YcSk1NZfS0VFF/F6QdzB27FxuuGEORxwx\nPuH9FH/0diRZAFxvjDki4tzRyM770caY1yPOv4ykm90O3A+cBVQAXzLGxOhJaSSpKAObqqo6Fi2a\nHLHE6rfnY3T/w+Scg2S4ekWmNyKR3xUe1zncBbyKiAQEkFZakf0h3VyJSOI9iKRYHEx0X8k9SNmI\nO7KNbPLsjB+FRKoL4s7u2GOv5h//qBh0S6ddYSBGkiFi/xU573e7zn8KPG+MKbPfb7Isawqy055o\nvUNRlAGIyNBFRm5+C/FTLbPIRJJjHrSf4USQE5Es1kQOEuRX0HzgW8he4I+JH9mBLNeW2fPchTi7\nyxDHiP2Z2+lFLjG7o9mViBSfd4LNK68UDOz+jf2M3naS/wEOtixrH2PMp/a5sci/op2usW8iEWYk\nLXhVv9rMnz+fo446CoCDDjqInJyczr0Zp3ZsML9vbm7mqquu6jfz6Yv3zrn+Mp++eO+2RV/Px+/7\nbdvesGcdQhJf/kK41s95nerxvsPj81uRyMxr/Fjg6xHvmwk7qWt8PA+km8izhEXCD0swPiviedch\nv+5+CtzMPvuEOOCATHbujBzfgGi+nk2sDutURFxgKdL260cxn3d0TGTFisVUVf0P48Z9hczMDiZM\nMOTlncH06dNldD/4790T752ft27dStrobkPKVA5gJCK0eHrEuR8DT3iMXQ783XVuPbA6zr39deEc\nxAy2ZrtdQW0wcG0gjXzXGbjabg58rc+mvl6NizfGGZuoAfLN9vP9NhMudb2m+jxjJk1a4Gpg3N0m\nz+vs65+JskEg0GSCwRKzZs26vv7P3KvQm02XLcu6x7Ks/T3OH2xZlle/FS+H3IYIJt5uWdYXLcty\ncrZvte+VbVlWpj3858CxlmVdb1nWZy3LugpRDP653zkPNZy/qoYyaoOBZ4NQKERVVR2bNv0dyfC8\nESlv8FuI76U8MzXO2EQNkBfh3WMxHgHXa6rPe4ZLLz3d1XaqO62uIpOcvkCkDTo6cmhpWcGSJdup\nrfXblkuBJMutlmWdBhxrv70Y2Rfc5Ro2EWmW5pfFSDLOY8CHwE+MMU6PmG3IYv8aY8wblmWdCVQB\n30d2ys8zxvwjhWcpitKPcWoiX375PPbu/SyS5OIwESnMP8n74k4ykb3EKhKXWXirzETjOB4/+3kd\nrtdIQsivuk+BnxGdPStxwLhx93D55bdgjGH16nJaWnJIXevVcZJOs+XESU47dhRRUVHC7NnTNbHH\nL4nCTOBExDn9C9gLvG7/7ByvAv8ALu1uSNvdA11uHbDLbOlEbTBwbLBmzTqTlVVtLwneYy8RRi4d\n1hu41OfSY7GBH9tLkE2u5dZn7PN+l1ITLZ+6l1H/ZuB612e3GbjIyJJx5Pkmeyl0ndl//ypTW9vQ\naYva2gbbFn6XmJ3DGe9/yTkQaDKrVtX14X/53oM0LLcmjCSNMZuAzwJYlrURieTe6xFvrSjKkCFc\nE3kdUidYT3SGZwgp5D8Lfx04zkGSXcqQZccNiH7rcOB9ZNnTb+TkJ1t2LZJcdCVSMiLZqyNG/B8j\nRpzDRx/9wuOaHCCHQOAW5s79kIKCcBZtQUEexjTwne/8nt3uPP+EOFFsvAg0toyko2Miv/vdCyxc\nmMpzhi6+6yQty0q4f2ls6bi+QuskFWXgUFVVx/e//z7GvIFIOG8EHogY4WilvoAkvv+baG1SkKzU\nNYgjHI5Ukb0PfBUYD7yClGkUIqXWfrkY8HJyDo6qzktI8+Zz7fMhJDv2tjjXhQkGS9i0KbaV1C23\n3MuSJSdiTLIlZhC5un8iS8OLgZtdn8dXKtp335Xceee5g0qn1YtelaWzLGsvEHewMSbVYqW0ok5S\nUQYOn/vcRTz//OmIgPh2ROXmNxEjHIGAHyJi4e1IRLSZcGH9p/brPGKd521IHeF5iOOaTeK+lA5N\nSIQ4AlHV8RJU/wyyy7SN6E4h/kXQA4FmbrvtxZhaxlAoRE5OOS0tybVeR41awMknH8rIkRavvfYm\nmzffE/Gpk8RTFOdq6fhRWZkd5SgdYfn167cQCgXIzOxg5syJFBfnk5mZGfde/ZV0OMlU9vzOcB1f\nQ6pqNyPLsLon2ccMlL2onkRt0P9t0NbWZkaOXGCiyx0ucO2pOXtt8fYk1xmojvOZsx9XbY9rMzDP\n5x5foYFKA+cayDew0J7D+QYuNPBdA98y8IDH3qWfvczwkZtb6mmf8P5k/Guzsqqj9jRXrqw1gYBj\nP8eu3nuSkUcwuNSEQiFjjOwRB4MlEfcJ72EO1PIRerMExBjzZ9fxmDHmLuA7iFqwoihKUm6//Ve0\ntY0HvouIhpchCpT32iNCiG5IGaI/4sbJ5IwfJQlFSEmHhUSVNyYZX4V00XgMScWYiUSfWYiGyTFI\nc+ZfIsusbl2T1BbTXnvNO72joCCPyspsgsGSiNIQ+wmBZoLBEiorsykoCGvEFhfnM368Uwbjv4yk\ntXUuNTX1ncLyLS0rImQBhaFePtJt7VbLso4HnjHGjEzPlLo8D9Pd76IoSs9SW9vAJZf8hk8/vZro\nZcmnkeXVCcj+4gXIUuc5iDpN5NhUejs2IwLj3wK+CXwO771NR5x8FnAJ0uh5M5KgcxqxEnBOO6zI\nPcXUNGSHD7+Yu+/Oj7sv2N7eTnV1ve+WVnV1D7F48Vvs2LE1pXmceeYPef31vb6WeOPtpfZXentP\n8hKP0/sjdY3vGWO+2p2JdBd1korSv6mtbeDSS18hFLoqzoifIi2fFtvvG5B9ysOIrv9LVdC8DEn+\nKQKOJ3Zv0y1O7jhWZ78wsvmy8z6yHZZDnX0vv3uf/yQY3JRWp1Nb28Bll/2atrbEHUUimTDhMl59\n9fKYCNKLeHup/ZV0OEnfy62IfFzkUYYIjb9AIkl6pdeI1C8cqqgN+qcNQqEQy5b9OYGDDCGKlYsj\n3j8J5CKJMjURY/0sazZG/PwSUuJ9EuII5yFO9jr7dR7REWEO4kQdnGXbvyIRZDaxDhJGj97FuHH3\nxGykWboAACAASURBVJz3RpR4nOXOdFFYOIspUz5jv2v0dc17773ny0GCLL0+9NDm5AMHEb4Fzo0x\nR/fkRBRFGbxUV9fz8svx9slCSB3k+0i5xh5EjOvLiDO6HlnyLEGWSv3K1Tkcg/yq82o9Fa2CE8bt\niC/gM5+5moyMz/Pqq0fQETGFQKCZ8eN/RWnpFCzrCL797VvYsydZXaco/4jTqU9rzWJe3vE89lhz\n1BzjEQg0cdBBAd55x//929v7tJCh10mpC4hlWVnIjvAk5F9YM3CfMebDHpibkiIDTbOzJ1Ab9D8b\nhEIh7rjjT0QXuzsO6w+ImNdVwMkRnzcjiTwLgSBSzrDMvqYV6cCRaFlzqv3ahOxf/h7pTenVeqqc\n2H1Ht4f5AhMnnsq6dT+x9wnrXfuE4SXTior5bNniOPTkjZnT7XSKi/Ntmbvke4zjx6/lyCOPpNXd\nbykBGRmp/pEysPHtJC3L+n9IF453kH95AaSXy3LLsr5ujHmhZ6aoKMpAxdFmbWnZF9mz24IIAwxD\nHMiX8O7fmIPUOtYgBfMG2eWZiyThlONv728tcCrwRbx1XXPsowbZA52F/HqL7cj3yScjyMjI4Ior\n5nFFgpaTRx11OFu2/Bhx6PVE7326k32SO51UaxczMzMpK5vC4sU17NiRuE6yrOx03nvvfTvy9LMn\n2UReXtxuhYMTv7UiyJ9ut2An+9jnhgGr8Gh11dsHWifZ7+vjegO1Qf+wQVtbmykoKDH77DPPwFQD\nc4xoqK4zcLuBuw3M91lTuNTA9w383K6nnG1gpl3PmKxO8gEDV6bwnJDxbkEVv67RTXTNYuIjEHgu\noY5qd2oXf/jDChMMLo1z7dLOa9va2kww6K89V2Rd5UCAntZudTEJmGM/2HGwey3LWon86aUoikJt\nbQPLlv2Zl18+Aokaz0XqD+9HskaPAw5Cmvv4YS6yiLUT+HXE+VVIcv33iI4qn0ESckYDbwM3pfCc\n79rzjY72UomgwsudySOz8ePXUlS0zPMzp3Zxx47YZVOpXcxhyRKJgL3KSKZP/wrl5V9OujycauQ5\nUMo/0oZfbwqsA37qcX4R8HB3vXV3DzSSVJQ+5+67601GhtO8+HYDc231F6cDxu2mK+o0Mt7rmpCB\nS4wo6sw1cLaBew18YJ+fmeJzZqUlguqKak4kfRHdSdSaPPIcSNDLkeS/gGssyzoL+AsinPh5RE14\nnWVZnbnPxhivmkpFUQYxd9/9AJdd9r90dFQje4YgCTGXI4k6OwjXO6aarBJvfAbS7eM7SIT6WaS3\n5HIkZeLXca6Lx4ExZ7oSQTldPSoqSmhtnRu13xeZDRupmhNJdXU9ra2pqeZ0t3axsHAWs2dPTxp5\nDjVSERO41+9NjTG9XjepYgJSH9ffMht7G7VB39igtraB73znIXbvduScxwN3Ac7fzu5C+64IApDg\nmmeAbyM94g9BSkjGIJmwD6fwnEtw5hzpzLraLSNV1RyHGTPK2LAhNdWcWbOOj0rumTDBcMMNPx6Q\nwuTpIh1iAqlEkvcCfzXGfOKaRAYwwxjzv92ZiKIoAxOnN+Tu3Z8gTvDn9ieRxX9O8vuDSFTYCjxH\ndJeNeDQhSjxHJBhzMtJ3YaX9vhGJCisQB3qy92VRPMPEibsYN648bRGUn2xYL0IhJ3L2V9v55JOv\n86c/XUBHR7i85Q9/qOEPfyintPS0Qd8SqydJ6iTtPpIW0vDtMMuy3nYNOQHJs+5T7Val/9XH9QVq\ng963QXhpsBIpozBENwFuQBJoJkecc3ov+nGSa5HdnUQF+gAHR/w81X6tQxojJ3eS48bdQ3NznS+n\n6C7LGD58DwccsJsPPxzJJ59kdLvFVGZmB9H9IBPXdra1HY1by3bv3iJaWkiY3KMkJ6GTtCzrMkTp\n1yCO0kuSH6QiWFGUIcj69VvsCGY38ks9m/AeotPX0C3XlgmcidQnJurmUYNET1/FnXEai1e9YSYi\nkn4zYcm7WPbffxU33DDTl4N0aj9bW+dERW4S8f4accizePTRZlav7lokN3r0J0hmsJcggLu283C8\n6jodduwooqKihNmzpw/ZfcXukFC71Rjzc+RPsq/Zp/KRf63OMQ2p0j2n56ao+KU/anb2NmqD3rNB\nKBSiqqqOp59+GSnF+A9wIbIc+B7JW1rlIQ61BCnDjuQ5JAL8PfIryDvBJYxbAKDR9ZwRwGX2fcNY\n1nMce+zVrF59ZGcSjfO9ZswoY9q0cmbMKKOqqo5QKJSwpZTkMa5A/iho6HKLqVAoxN/+thdJeEqE\noylbi/xqdtPY+VO6NWKHEkmXW40xjwNYlnU08PqQz45RFMUVTR2IOIZxiKOYBPwPEr0ly9CcBUxH\ndEpWI/uOzYhTOx7Rc/UTha1F1GzicQXwAySp6LdAgNGjN/OTn3yDoqKKzggrXpT46KPNrFr1Yz78\n8E127EjWYaMIcfzTgQzfkZyzhHv77Q/x0ktLfXxnkD9K7iNZlN0TGrFDhVSyW9ck+twYc1FaZtRF\nNLtVUXqHcJF7ERItliMRVDnSWeMBpPj/LWTpMZGQeCRlSGbqH5Hs2FOAfYF3Sb4k69W6yo0zP2Ha\ntHL+9Kfw++jvFY87kOXNZI47ut1WshZT0c65ntQzf5OPd3/foUBvt8rqcB0WIq+fjyyeK4oyyHEy\nWcOOpJ5wtNiBOMiHEBWchwm3o5qMOKlEy47/QpouP4g4yM2Is3kcqYN0C3s9S6LWVbFE71kOH74n\nwfeKx+XIEmd7knHR7bYStZiKXcJNVw1pNENNmDxdpNIqy7P20bKsxcgai9LHaI2g2gB61gaxRe6R\nWaxOsolXSbWXkLibz0Scd0dc7YhDfgBxCluQ6HEeIpLuppFwhivE7lk+w4EH7k7wvRIx155LsuL9\naOfl1e0j7JwjE3RSdWbxxjfi2GBICpOniVQiyXj8FhE7VBRlkCOZrDnIMmsd8DISIf4A2T9Mpsfq\nJJu4I7G/I9FmPNzNkicgS7wP+Jz5L4lOblnFe+8N73wX/l5+cDdljke08/KK5Lyd80QkgvbDMyTK\nbHUQjViv5B4lGb6dpGVZwzyOA5F1kB09N0XFL0M9ggK1AfSsDaTIvQFxjJOB3yBOazLyq8APTiQW\nyc2I4/PDs4hjyER6M9Z4jJka8fMdwDbClWo1wBd57bVwRVu4eN8vycZHR67xIjlv55yPJCIlZ9y4\nexg9Ol4736nAEBYmTxOpRJKfIuspkcdOZPPhR+mfmqIo/Y133/0Xksm6guji9S3433VxR2I1wHD8\nR4U1iKNsJrqMxL1n2WyfPxyJJP+NOOhsYCHvvReO7KR4PxWSjV9LZOQaL5Lzds6JnH+YrKwabrhh\nJjfffDjBYAmBQHT0GQg0EwyWUFmZHVcjVklOKrJ0X0fUg0cjjZdfAvYALxpjdvXA3JQU0f04tQH0\njA1CoRC33/4rWlrAO9O0K5FYE6LScwGyH3kqEvXtT3wZthpEuPxMopsaf4REtJOQ8pFXgVyimxxf\nDvwDKc2Agw8OK/TMnDmRRx/113g4HMnGowY4vfO5iSK5+M45D4nYSxDHnlgg3UuY/NhjDTfcMHSF\nydOFH1m6TKQl+LeBLCSr1SCO8m78L54rijIAWbXqFyxZUs2ePQHEqXmRaiS2GSmROAqJ9D5Efq28\nACwgVobtGmRXZw7hTFZ34kxkKUQj0UuuDsXIUvF/c/TRh4TPptADcuzYGvbffySvvnq8y6k2IRHk\nFCDPV7ePxM7ZqSF1/hjYzaRJ77Nw4ddiNGW9NGIbGxvVQaaBhHWStoP8M3AYcCuy4/4ecCiSUrYY\n2AqcYYxJlhPdo2idpKKkn+OOm8XmzYcAVyHLofHq8eqQfUk/kVgTUI20tjoY2IREkTtJXA95FyJY\nEK9GMboOMj7nY1mLqap6Napusa7uIRYvfitp4+Gbbx7L+eefSXV1PevWvcDWrTvZuXMnlvUexhzI\nIYeM5qijDuEb35ictNtHKBQiJ6eclhYv+blogsESNm3SyDAVeqNOsgQRLj/eGHOTMeZpY8xLxphG\nY8wNQBBZU/ArD6EoygDhjDMuZvPmryNdPV4knMlahjjFUMRo/8kmEo3+F/A6EkGeCjxNYgcJcCmJ\naxT9RrNHkJVVGbNHWFCQR2Vltq/9vYyMDA488ABef30vr756Oe++ez/vvPNH3n33AV599XJef30v\nBxxwQFKHlpmZSVnZFLKyku8/avJNH5GoIzOyMZCXZMwMYLPfLs/IhsFdyJ+NbwJLE4z9PbAX+dfv\nvJ4TZ2yqTasHHRs3buzrKfQ5aoPu2aCtrc1UVt5tjjnmHAPzDKwzUGIguls9PGNggf1Zm32uwUC1\na5z7qDTwWwO3GTjLvn+tx/3jHU0G6jzOP+c6vzHBPUrNCScUx7VBKBQyVVV1Jje31Eybdq3JzS01\nq1bVmVAo1DlmzZp1Jisr8XfNyqo2a9as82X3NWvWmWBwqQkEou0QCDSZYHCp7/tEov8vGGP7BV++\nKd6RbE/ySGSnOxEvILvufrkJkdP4KiLUWGdZ1mvGmPs8xh4HzEYkNxzeS+FZiqL4pLa2gZKSX/PW\nW6OBA5AdFSeT1c0XkM4edyDpChciy6BOsskcorNdm4Ff2a8XIVHh68ie29VE70EmIofY8hEQAYMb\nfVz/DPAK//nPXqqq6jxbWSXrAektABBLKt03CgtneSbfuHtault0dbcll+KDRB4UeAOYkmTM6cCr\nfjwyIsS4G5gWca4UeNxj7P5I9PgZn/dO358fijLEWLNmndl//6vsSLDNwNl2lOgnultq4HY7KjQG\nQgbyDfzAwLUGSu0o7yn7tcm+920Gphr4ps/nOMe1rvc3GpiZwlxDEVFaScpR2sqVtTERX7wjEGgy\nq1bVpe2/UTBYEifaTP17DAXohUiyAfiJZVlnGmP2uj+0GzJfi6ju+OFEZLn1LxHnngTKrNjMm+OA\nNmPM6z7vrShKFwiFQpSUNLBr18FIDWE5st+Yikzbi8h+4XSkddPFxOqplhAuyXAk6o5AlHqiZoRE\ni/HKQJy9x2Ykn3AG8DES1SZqLxVdmiGtrHLiNiWOF7U1NLzg6iMZn3R13wiLr8dGr8m+h9JNEnlQ\npOTjX0iG6/9n78zDpKiu/v+5jDAsbqjDokZcMANG47hFjRtkQTBooiEoCAoIbqAGjBhfRlERjVFE\nQdxmom8YElwg/mRQFN7IRE00CjJGCQxgxLggiwguTA843N8fp4qurq7qrh56erbzeZ5+mK6+VX3r\nTg+nzz3nfE9fJNreCsluPQ8pGKoC9otikYELgA2+Yz2QT31n3/HhSMzyKefffwL9Ulw7699Cmhoa\ng9A1sDb6GlRXV9tp08ps164DLFxqYYiFyy08YiVemIl3N8FKXLCPhVsDXi+xErP0Hx9u4WrnXGvD\nY6Cu93m/hYuc9xth4Wbn+BsWBjue4jKbGJNc5hyfF/D+8igsvCEp5hjmtbVrNzzltfyP3r1v2a3f\nZ3V1tS0sjObVe+9D/xZy4ElaazcaY05DGr3NR2okXXYCzwBjrbWbI9rk9iSnprnP/Zv2PZ3xzyJ5\n5xcA5caYU621b0V8P0VRPLjeUUnJQtas2YPq6tGIh+Z6bt8A85Ay6JsQT+5TJEpyBPJfQFDbqzwk\nBnk8UjHmipi7sUipHUxmNPJd+wHgl4THQF2B9KlIrHQd0kLrVOJZsYOQCNFy4EUk2zYfSYHwigrs\nWo1d911V9S3HHXcVV131Izp0aMdvf/tFqNdWXf04qYXaE9nd7huZiK+7zZXDWnIpdSCqNUW8yr7I\n3kpfYP9MLTLylxXmSR4QMH5P3/N5QGnItbP27UNRmiOud2TMNBuPPV5vJYv1LZ8nt9TnpbjZrEMt\n3GlhnM+bmmAT44XDLdxoJQYZi+CFFlsYGdE7u8LC36zEPf2vzfN4kxNSXCPYY23V6g3bps2wiPOI\nxzfDY5Jv73ZMsm/fVPeR/Ojbd0KWPjFNH3IQk/Qa043I17Pd4ROgozFmD2vtt86xLog3meSNWmu/\n9h1aAXw/7OLDhg3j0EMPBWDfffelqKholzxXRUUFgD7X5y3y+f/8z5089NAXbN06CYk57oPE5wYh\nCecVwJ1AJ8STqyBRteYrJCt1DeKB/Qtw+7AfDFhnvOs1/RCJ1LgeTYXzb6+Q5zuRBs2EvO59fqXz\nuDRgvKtSczvwZsj15jpz3xvZqJrjzP8sdu7cwPbt10WYbwXwXeIts4LHd+/+AiNHTtqt35/ou0aZ\njzyvqclr8M9bQz13f167di1ZY3etbCYPRJjgG+BMz7GbgVcDxs4BHvIdWwhMDbl2Vr55NGU0BqFr\nYG3yGiTGtP7geGyjrMQfXQ+k2maWzRqz4o0OsjDWee6vVYzqAQ1w5hPdW5LYZ3WK1xeHvP8cC8OS\nPMh4zDPTeYTfY0FBiS0rK9/t32ddPUn9W7BZ8SSz0U8yE4NcjXyFe8gYc5Ix5jzgeiRFDWNMZ0cK\nDyRjdpgxZpAxprsx5jbgNGBaLuesKE0diWldhHhQTyIaqKsQHVOXOWSWzToHiQUegOTy5ePvfBFN\n9HwZ8AvEk8yEoxCPuDzFGH9fxnIkvvoEyfJ5RYgHbTOaRbt2H9R7941zzumR9B5haHPl7JNSu7Ve\n3tCYdsBDSJT+S+Bea61rJHcCw6y1M53nVyJG9CDgXWCctfbvIde1ub4XRWkKfP/7l/PuuwchBuJy\nRAjAKwZOwPN0uOMrgbuQrhz7IQk+bunGCiQJ3p/k48UtC5lUx/cvRcpWghJoYoghvdv3c5TrRqNP\nn5s499yjef75FT4BgNSarZmg+q51JxvarZm0ysoKjjc53Hn4X2vle/4I8EiOpqYoTR5/bd/nn3/A\nu+9+jnhVj3pGZtrayo97fhFiGD9BtF0HkdzBYyJwOsmGzFu32APxKqP0pPQ2NB6JGNo+JGevun0Z\n3fZbUTzl6PPIy1vGeecdzejR4eo82cDVdx03rjSt+Lrqu9YDu7tf21geaExSYxC2Za+Bm73aqpWr\nKVptJQv1opBYWrUV3dQJFn6+G7G4X9j0mq0lNp4NG1S3WJeYqPVcz6/nunjXz126DLLt2/8y4rWj\nz8NfW5mb3290fdeW/LfgQhZikjn3JBVFyT5lZeWMG/cxmzYdg/QFWItsd36G1CD62YH0aHR7N85C\nvL6ora68ca9vgaFpzhkJjEDEto4huW5RvL7Wre9nx45fp7hOomqOEKbnKt7VPfcMpqTkn7zySuAQ\nH673eT/SHiyYgoLHcu61RdV3VbJLzmOS9YXGJJWWSiwW47DDLuOzzw5GthS9hs41gF7KkWL8y71X\nIVrMDhLl5ZYhlWGHkNwE2U8lUugfPu6YYy5h+/YuVFVdiMROvee6ogRB8cdxwH27nnkbHg8dei79\n+hXz4ouZxDwvQRKSriNZqP1xLrmkPX/84+8yuJ7SEDTJmKSiKNllxIhiPvvsB8h/6F5iAaNjiFyy\n3xi6HlQpqfs6+j252cQTb9IR7vGBxPiuuOJsRo4cwHHHXcqKFd2Ja7f2JFg1R+jZcwvduhWHelfn\nnNODRYsqqa2N6inviSQj/RvJCvbO4x42bIhyv0pzQI1kM6KiomJXcW1LpbmvgT8xZ+PGj1i+PIYI\nArgsBDYALyP/sRcTl5JLVerRn3irq8EkeqRB8nJegxk1ESh8XPfus3cZtquu6s/YsUdHMmp5ecsY\nPfrHCVJsFRUVCduPo0YNYMaMiVRVRTGSDyBZueeHjqip2d3Ep/qnuf8t5Ao1korSRCgrK2fy5NdY\ns2aQpwvFLBLjg+WIMbuR4CzTdaTu3egq1sxxHiuQCiyv/ulSxIM8i7jB3B7xLoJ1TP2ZmZkYNde4\npiJqhihMB35OKgMJu6/HqjQhdjfzp7E80OxWpRkzc+Y8W1AQlEHqVYiZFyHLdIrNpIOFaKrOcrJZ\nb7FwiRVNVm926VIL10a41lsW7oqUmWmttWVl5SH3HH9kqmoTliFqzFIL10Ram2zosSq5gSxkt2ri\njqI0cmKxGMcccxNr1pxAYo/FQ5DmPPOoe+JNOryiAWGJM+ORJJd0iSy/AY4GFgN7st9+m7j99vNS\nFt6L9/wqa9YMTth69SfmZEJNTY2TIRoXAOjT5wgefvg9Vq+ekvZ8LdhvOmQjcUeNZDNCYxDNcw1O\nO+1i/vGP/ZESiiLiLZ7mIhGTQkSAfBiSiVlBXPg6iGVIQkq6bNQliOE9DtnSHUCyYS1FehQ8B5Sk\nuNb9QGvgQ1xD27dvMQsWpM84DTJq6VRt6vI5mDVrPuPGfZa2YP+++7pkRW6uvmmOfwuZotmtitJM\nicViPPTQbG6/fS5btxYgHSveQ2KEc5G+599HPMoewBtEU6vBGTc3wringcuca3+PRAPpT+SZR+qE\nn0qka8dI5zpLImuM5ufnM2ZM/araAAwZ0h9ry5k8eXxKz7UpGEgle6gnqSiNjLKycm688UXWrRtB\nYq3gNYgXOZpkQ3QvyfWQqRhFas9vOrKFOhrpZOcm8XhLIVzP0vVMB4SM64602Ip7ru3bj2Dz5ocb\n5ZZlXTxXpXGi260e1EgqzYGysnJGj/6Qr77yu01zgf8CY0POzFSg/HJgXyCsaP9kpB9jNmKc/tdL\nOeaYV/nXv/6YwXwVJXOyYSRz2ipLqV+8jUdbKk15DWKxGHfc8UqAgYwBiwg3kJDYFqoizTstQ8o3\nJgFTEAM70fl3uXP8l8B3EI8yFdNJlonzMtXz+j8Rb/NvxGJt6devmOnTZxGLBYke7B5N+XOQLXQN\nsoPGJBWlgfALA6xf/xGrVh2JGEVva6k5JPZ+DGIAYuiiFMu7Kjn5wOGEe6D/BU5BvM4rgeM9r7ke\nZwfgI+BgkreAHwfeQZKIngbaAxOA41i9GlavhkWLKpkxYyITJpyecZaqouQC3W5VlAYgURjAb1xm\nAz8AqpGSjw+BbsRVc8J6M85HBM3Tycp1QZJtUmW5liKxyA8RQ1lNPNa4DLgAUe7JJzxm+TfE01wI\nrE85r4KCUqZM6ayGUskqGpP0oEZSaey4nmNJySusWGH59tvOBBu+csTgXUGy9/YnJErSmrhB8l6j\nHHgKqUkMk5VzDdEw4GrEILssBWYgnT16O8fe973XYYiX+IcUd/sQUsf5E6LWb2r9oZJt1Eh6UCOp\ndVHQeNcg7jleRG2tv6vEbOJNictJ53VJE+GDiRu7SqAMiZ60Rjy4ds6YA50x/jrHUmB/pGHyQuff\nQs+4hYgQur+riDvfNxFjOZrkxJ9ZwB60b/8+Xbvm8f77NyAlJHNIFENI/IKQl1fJAw8sT9BgrSuN\n9XOQS3QNtE5SURo9sViMUaMm8vTTXdi+PcibKnIepUgGa5SM0quQjNE+iNH7CPlTvhDxPCuQOOBS\nYCbizXkNqutRHgQ8iRiqJcBtzhjXUKea7/2Ip7gSeJbEbdbJQD41NZW0aTMN+BSJSQ4iWE9WviDU\n1hYxf/4cRo9Oc/uKkkPUk1SUeqKsrJxJkypYvfpbghsf+7kCKd7/QbqBxHsz7k16z/NepOdjK8Rj\n3N/5uQ3QFzFedziP7MrbdejwM7755vw08ysFOgPn0rv3RF5++bYUYxUlOupJKkojpaysnOuvX8/G\njccBR0U863LEM4tiJIuQ2ONO0hu03yBG1SJlJCd6XnO9Offn9whvpeVnMLKFGrY9GqO6uiOpDSTO\n6+IZa3cNpbGhdZLNCK2LahxrEIvFmDz5NUcDdDmJyTepOAHJEI3KZoINWkXAsbHAOSQaSBBjezdw\nBHAPYqSjlJG456aa7xx27vx1xGsNxpipkaXq0tEYPgcNja5BdlAjqShZJBaLMWTIjVRVDXSObM7w\nCpk08/2C6AYtnQG+HNgHiR9mQqr5vkmyUQ6jiHbtljJy5IAM319R6hfdbm1GtPRMNsjtGvjFAD7/\n/APWr2/Phg1tiGd8fpHhVaMa1WWEG6heIcfTGeDLkWL/TAjfHm3X7nOqq6NfqVu3Tlkr/9C/BV2D\nbKFGUlHqQKIYwBAkI/Q7SHxtomdkHhLrC/L43JZXblnEZuBtkhV3gpiNCAxkQphB886jA3AtEhf1\n1m/651rrjD0i8IoFBaV06dKBd9+NPrtu3TpGH6woOUK3W5sRGoPIzRq4STlVVXc7ajkxpKbQTVDx\nGqNuiEHzU44Y06ORrNLbEHWa6cB1zuthTAVOdc6tDHi9IuDYEqQ8I908ngamOc8nOq8HzfUO4KeI\nRxufa15eJYWF45kypTOjRp1JXl7Q/JLJy1uWtXgk6N8C6BpkC/UkFSUFbl/H0tJXWb9+B9bW8PXX\nG9mxYyhxj28OiQk0rth4EWJYtiJlDq4RTVWHeDzwKGIIHwS8YudujeMhSClHJnqtpSSXoUSphxyH\n6LsGjTkROJE2baZyxBHD6NbtYKellKjmxGIxZsyYSFVV+vl17z6bkSMnRbgPRcktWiepKCGE93Ws\nBJ4ANgEXId0tvCLh3lrDGHAz0gnjVaS7xl+IVod4JdLOKp/kHo5ua6z5iJjAVSmucx+ijnN+yBzD\niF4zGSYpN2vWfMaN+8zJ9A2moKCU++7ros2MlayjsnQe1Egq2SS5r2NQTG4zshkTAx7zXcEVG++M\neH8/QHRSxwNDiZb16QoGBNUhDkU8vFpEZ/VzxFD6tV4fAlaRvAU7C/FyU3l5UcYIqSTlJH77KmvW\nDE4Qc8/Lq6R79z8zYcIZKmyu1AtqJD2okVStRsjOGsRiMY499mZWrbrHOVJOuI7pA0hLqb8GXGk4\nYmQ6A1uccTEk5heVsGbK/uM1iORbd6SMwy3nOBA4wPl3ZIrzM3nvYPr2LWbBguDxNTU1lJTM4fnn\nV1BTk0d+fq2zNTugXgTN9W9B1wBUcUdR6oWSkjmsXu3GGIPidl6v8hDEGN2FFOy72aBzEdm364kb\nmxokczQTgso2lpGchJMP/BaRoNsDMYpbEcM8AtmSHY+o5BSFXDfKe4dTUxM+Pj8/nzFjLmaMf2x/\n3AAAIABJREFUv5+0ojRy1Eg2I1r6t0aIvgb+Gse2bWs555wejBo1gBdeWIm1Q4hnrXoNZDnwCuJV\nDkCMZS2wAfHkjgBuQjJai51zXOORDxRkeEdBZRtu02Q/JyAydd2QcpSxwPOI4HhXYC/gd0jz4611\nfO9wGpOknP4t6BpkCzWSSovDFR5fs+YAvDv0L730EdOnT+CbbzY6R7xZq24Sy6dILHAKYmgOBzoi\nNYO/cJ6PBQzxrVmv8eiBeILedllhBHmMpUgSUNgWZQ/i3TxAmiP/jHhT5DaIl7lXhHl4s3RTk+0S\nDkVpLOS8TtIY08YY85gxZrMx5lNjzA0RztnPGLPOGHNJLubYVNG6qPRrIAk5i1m9eg+s7Ye37s/a\nfqxe/RWffroK8QJfQozLjYh3OBDp29gK2NM5dxrxusGjgecQw3Qa8fpB19iAeJ9PRryb2c54nPPH\nI/HNVFmgtSQm6cSAZxADmec8dw1punkMILjGMxkp4Wg8knL6t6BrkC0awpO8FzgZ+BGyJzTLGPOh\ntfbpFOfcD3TKxeSU5suWLVsYPfoBvvrqZ4i35+cjxCucQWLJx9tIx41PgbVIe6qJ/pNJ7A15BFLy\n0YfEesa2SC9Hb91kEPcAbznnHgqcQrq2VMmepzfhyN/H8S6gmry8qdTWBq0Fzly/RdYjvMljQUEp\nxcVn1ksCjqI0NDnNbjXGtEeKy35mrV3sHJsAnG2tPTPknH5IoVdHYLy1dmbIuBaf3aqEIyo5z7Fx\nYweCezu6CTqpDNfDiGj3ExHecTxSE7kGKeFwS0K8ggKvIgbMu+W5BPkemQf0QzzTQxGjGeU9XUOa\n/n723HM6F164kddeiwWUZyxj//0fpXPnbXz7bSv++1/Dtm3XYO3xnjFawqE0bppcCYgx5lTkf4b2\n1trtzrGzkI6w7f1WzhizJ9Lgbgiy7zNBjaSSKfHejm0JrvuLWjQ/C9mqTFXj6Ga+volks34BnId4\nhIuQj7+bYVrjjF0AbEe2Uk8hLhhQiWyifIuIlocbPGOmY+1hyFZsZiIAb75ZzMyZ5SnLM3JdwqEo\n2aApGskLgEestZ08x3ogFdMHWmvX+8Y/DFhr7dXGmI9QI5mSllIXlSoz9Y033khYg1gsRlHRRKqq\n7ia57s81aM8h3tw24kIBPUgU+CbgfD+p6ilnA6cj269uEk0eYkz7ELz963IvsBiJTlxBoudZSfv2\nDzB06KFUVHzjeITPAL9id0UAIPVat22bToS94Wgpfwup0DVomnWS7ZGvz17c5wlfRx0P82dEb+uu\ntACSu28IixZVMmPGRC64YJ+E/xhKSuawZo2boeptW+UatO8gmZ7nkGzYJiKGzd1KTFU3GEUHtRRY\niGy/ViJJPweS2kCC6Le+gQgEPOLcRx5S6rEPHTps5bTTjueBB/pQUjKHCRP+zpdfTk5zTaG2toj5\n8+cwOiDkmG6tJ0w4XbdZleaPtTZnD+Sr+QbfsR7IV/cDPMfaIlpaP/cc+wi4JMW1rdK8mTlzni0o\nKLFgQx8FBSV25sx5u87p23eChWoLj1s428ItFkZZuMrCHAuprwfTnHHWwoSQMdUWxqe5jvsYbuFq\nC7+0cL2FZWnGz3Ou/bbv+DLn+CALsYT7PvPMsHkGP3r3viUra60ojQ3HLuyW3cq1J/kJ0NEYs4e1\n9lvnWBfEm/R2m/0Bkh5YZoxxXeX2wCPGmFOstVcHXXzYsGEceuihAOy7774UFRXt8ircdGh93jSf\nL1y4kAkT/szGjW5JQoXzb6+E5xs3jmTy5PF07iwbE8uWLUcExrsjijSnINudc5G2VKcjscZOSA1h\n4vXgGmAYEhGwxGsLve8/BzjSOdYL2cadhKjduPqqFjgL0W+dhjQ4LiPuvQbdzz+ced3tPK/wvL4F\nSeypBBaycWN3Jkx4hB07drBkSVXo+gQ9z8+vTVjvWCzmrPUVxEk+f+PG7kye/AIDB/bh9ddf33U+\nNPznRZ+3zOfuz2vXriVr7K6VzeQBtAO+Ac70HLsZeNU3Lh/538X7+BTR+Dog5NrZ+/rRRFm8eHFD\nTyHrVFdX22nTymyPHhdaWBLBM1ps8/KW2aFDb7Rdugy2cKeFMscLvNTx5JaGeGXzQq65zON5jgh4\n3eu5uZ6f30P0vsdw55yhKe4jE+90iIX/sTDGtm7dP+T9gx95eW/bBx+clbDm06aV2by8qOcvSzq/\nMdAc/xYyRdcgO55kTsUErLXVwEzgIWPMScaY8xzDdz+AMaazMaattbbGWvsf7wP5Or7RWrspl3NW\nGo6ysnKKiiYyduzRrFzZncTaxXBqa4t48slP+eyzasTjOhopzT0deBwJc89CEnEmIp7gMcDHBDc7\nLgL2A15Hkq2n+l53Y5XeuKQ/aabIOb4ekY67A4kxhuHvUZmK65F7ms6OHbcCH5DclSSYIBGAF15Y\nmVAOkgqJaa6IOE9FaXrkXHEH6eL6FtI24SHgVmvtXOe1dYisSRA2B3Nr0rhbD80Bt2yjqupu5z/s\nqGLbvQDYseNL4KeIYeqBJOmMRAzZRMRwxtV25PlaJAvVn1uG8/6DgJ8jW7fjka1XkO9vrs5rqjpL\nnNeN8x5rgaUh41YSrZkyzjjXUJ0API1s2jyY8qwwEYBYLHvC5g1Fc/pbqCu6Btkh54o7jjc53Hn4\nXws12tbaQ+pzXkrjIRaLMXnya2zc6M0UzUQ8O4aEsN1GxHOQ5shRMlAfRozo73yv1yIG6Fkk29Ut\n5ZgLvI/oXUT1/MYgGa3DEWm4IA85U8PjHz8Fqcdci5QZJ2budujwAFOmXBDY6Lht26YrbK4o2aYh\nPEmlnvAGr5syiWUbLl7901RUINuh4zzHViJybVE8vasQQ+r1Jr1yb96OHhcjXugTzpiont8JSJ7a\nBUgyT2nAmEwNj3d8hfPvDUA1YvAvRBo1jwCWceKJB4aWb5xzTg/y8qKsdeMVNm8ufwu7g65BdlAj\nqTQ6gmNi0cW2RWvVq4qTR2YxvjHOeBev0HiQ8WpL5tLCeYgh7o8o7Ywn8UuA2y0kCkHdQkCycPMQ\nb/UpJJv2WmAlmzd/FHq1UaMG0L170xQ2V5Rso0ayGdFcYhDBMTGvMHgqVpEsAl5LZjG+E4jH+Lyt\nqcKMEYi0cCbsT9wQn4uUjCxHkol+hYgOzIh4rT8hsnZuItL/IYlJsYB5SQLRBx+cRFlZUJIStG3b\nluLiMygoSL3WjVnYvLn8LewOugbZQY2k0uj4/PN1zk8xErNQ3wBWI1up/u3ASmSr9G9IJqr33PeR\nyqNM2EZyayqvR+kn6nYwiLE9mbghhsTt2xrn/TeT/kvBg0i+23EkJyJNRDJdk/n662uYPPlVamqC\nkpRgyJD+TJnSmcLC8Ulbr3l5lRQWjmfKlM6BMU1FaU7kVLu1PlHt1uah1RiLxejWbQgbNvRCRJaC\ndFD/hGwj7gF8iRjOPZGSihokDtcZGOWcG3Ou82wGMxmBJPG4XlIponsRZhSii4rHu3XcSWKDZBAD\n+jugM126bOKLL/anpqYdcVF0l0rgUSSL9T7fNSqIF/1PR7qIJMcf0+m2QtMVNm8Ofwu7i65B09Ru\nVZSUlJTMYcOGHwI7SK+D+gmiYzoZcFs4VSD9Hp9CjKzbw/FQpNwiSq3lEuJbrG8D/4uUk6TymtoC\nByFG6ZoU47zbt0HxzSeA7/GrX31OWdkTPP30QiZNWsyaNS9irbs9W4VozbZHslhTcQ1ilPvg34ZO\npdvqkp+fz5gxFzNmTJq3UZRminqSSr2SaReJo48ewfLlBaT3yMqJb72GUYp4lOciIgKvAyURZn0t\n0vvxu4g64nukN0YgHTp6INufQZ7fn5G46rmIx/hvZIsVxBMdB/yXVq3a8ZOfdKd//+8xatQAjDEJ\n3tymTWupqmrD9u2jiRZnrUTinckeY+/eE3n55bg321S7fihKENnwJHMqS1efD1SWrtExc+Y8W1g4\nPkniLC9vmS0sHJ8kjl1dXW1bt/5JBEm1TCTbhjmSbb+yUG7h0TTjS5xxXqm5uY4s3QQrAukTrEjd\nVfvOm+u8X8zCLN/4Wc5xd/wNnufTnfMSZffC1slaa485ZlTE+3cfwaLnfftOqPPvS1EaOzRBgXOl\nHmlMMYg//GEu1133V775Zj8kFjgHt0djbW0RVVVFXH99KVC+q16vpGQOO3bsRXrvKFU5RwXxeBzA\ndYgXtQeyXVqObD+m8vT6I6JQOOP/idRXHu8bPxHZYv3YOW89cBhSapGqHvMBZ+ydSGLNCcg2ayK1\ntT2oqjqGyy6bw113vUi3bh13eXX77981xfX9awBB4gTeGsd4Y+pkDz7s99WYaUx/Cw2FrkF2UCOp\nZAXvNt0HH3zOqlWfYO2piLKMu02X2KNx48aR3HHHbxg4sA/5+fmUlCxEJNvSsRJRkYlCEYk1j161\nnDnEmyz3RJJp3LhdLdEUeqYDXYH/B2wAOiBlKEsIapAsSTbbkLjpaiTB/LqA68cbOO/YMYQVK2DF\ningvxzZtvgg4JxXJ8U+pcZwUonCUjNthxf19KUpLQGOSSp1xDWNJyULWrNmD6urRJCbGVCJlE27j\n4hhimF5EslD3Ag5l8OAv6dv3LC677H127FhH+njkRJKzQtONPxIpi4gSw1vmzH1lhLkAXIm02SpE\nGiH3R+5vDlLm4TXE5cAfEWM8K2ROrnEO90Y7dLiab74ZQaJoQqr78cY/pcbxvvu6MGRIf6ZPn8XY\nsUdHEjWPkhGrKI0FjUlqTLLBcONXxky36RsXl1i41Qa3cFpiYaDdZ5/hzvNrk2JzUeNrqcdnGse8\n2iY3Og57LLHwYxveasv78MYSg+4j6jyrbV7eJRHnF49/SnzxhoDG1NHX0xvHVJTGDFmISaqYQDMi\nV1qN8Q4dt2HtR0TrfPEJcDtxr8kt9n8WsGzd2h0p/N9IeqWZVIX7Fb7nrkpOVMWeUuCXiPd3XJqx\nLicAJxFUi5jIUkSr1SVIWSiqfF5bdu48CWPuDXitwvPzdGA97dqNoE+fm3jggeW8886khLhic+j6\n4Ud1S3UNsoXGJJWMSIxfzSK6HuoVwCWIIWkHvOmcuw/ST/sc4gZ0PlLIf1XyZQBRvbkOKaZPx2wk\n1gh1S9yJSpsIY57yzAWC6ySjx1utHcPBB/+CdetWUVt7NWH3U1DQbtfWahDa9UNRwlFPshmRi0y2\nxA4dmeqhHol4dS8hccr3gQXAgYhHWYwY3p8AByPGzN9vsRK4BckqDfIKe3l+9hbuu7g6qcuA85B4\nZTGSATuJuDeYqSFYm/LVvLypGNMtYS7GdCD5/jLz0o488lgee6wvnTpNRuo7JyLarctp1WoAhYWv\nppWPaw5dP/xoVqeuQbZQT1LJCOnQ4Xo6del5eALwGHA1oqc6lmQPyM2AnYQYyv9F9Fj9WahRvUI/\n+YhYwK0klnV4cbd0o3wJWAJsQjzcGxBdVpeldOlSyuTJP2Xbtmqef754l7zb2WcfwcMPP8mqVd5k\np8y9uhEjLuDii3/mk49bQf/+MHLkpIRM1CCxgJ/+9AgOP7yM1avT36ubEasoLYbdDWo2lgeauGMX\nL15c7+/Rq9ctu5lAY50El2lpxpY449K9h7dwf4KFH9rkwv2gx4C0iTHRE33cxJi3LVxhYaiNiwjc\naadOfSJ0PcvKym1BgTfxqcymF1OwThLO2/bBB2clXTPsc5BKLKBr16vtXnuNTfl+BQUltqysPEuf\npPolF38LjR1dA6uJO0ruad16u+dZpp0veiIJO6+RWt8UJNnnVdLXTXq7Z9yBeGIbSG6X5eVh0nts\nmST6uFu6xwGPOM9PdOZzEy+9tCb07ORuG9H7ZmbSyzGebHV3UqlHbW0R69bNAA6nS5fB2vVDUTxo\nnaSSEQMGXMfcucMQg1CXzhfPEL1esRKYhuiuRqUY2e5cBFxKYt3mEkTt5iDE+N4V4XrliLG+kOQa\nUK8Wqx/3fvOT9FGD8Hbb+PDDT3j//e+zffvY0PHeOsd0xGIxioomUlWV/vf03e/+hiuvPJqFC9c0\nqa4fihKEdgFRcs6XX7ZDOt0fR6K3laoMxOttZaqWs43osUHXW/Wq6kxD2mh1dF4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W4JhoyLG8HhIXWCyd5cScltvPTSEDZujCoG/nZWxcAVRVGU1OTakxwAPBTiSXa21m4KOOdgYCGw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\nJH6JffklnnIAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x113542b50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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yv4vvit40OPw5NX4civHYac4W70HIkq3pqn347QYaNm5E4cKF0Wg0rFm5jmX9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\n68xlIHKlgNFQ8E2e0SBStqY1XSe5Urt1Eep1dGDYT+XY8Kw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8V+zt1/Hpp+1ZtcoJhAy1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\nxEYZKFmuAM4uQFy0gY7dNdRoYMGcAfcZva4i2sgU7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Put92uPHQblErBoDanrweU4KD0w\ni6SFkLwS5DdQIx6MbyGwNeAJ9jMFIzIDqbcgrh20CxGCbYC463C5PdT9Acr1E96QWRH7EI73AqMa\nqvpBtfQiqDfnQ9BB6HIcEkPg/hqIvSfqxdkWh/IDwKMRXJsOMZdhUJZK4jv9oHwbqPlZzs9zYAI4\nmmDIIvOfNyvu+sPaz+H4/cz5sbg3sH4xbFyGsqQ7Nt+NQfOJ+eCWOHIytq4a3GYMzfdUL9uNRXvj\nMUpXR4wRMTg1qohjzVLIskzsmfsk33jCZwkLkCQJk9HE9Un7CPzlEt6fVCbiwkuqDK5OjS9yny42\n6A3sar2Byp2K03i8eauOo99cQBEXS71Pi7Jt4l16jy9M8575C5mTEgz08brByceuFHJTIssyl06n\nMmd8IiFBBu6E22JtLQLHlfMGxvhpcXeVGdpTaNz0qXDgFPy2A+pVhM2TRRkbkwlO34QVe+DcHUjS\nCYvQnu1g0mDwzt20H4DOY20pVq4vYa+DuHfnOlHRsTSvbomDtURwjJL7L0307z+Qb7+bjk6n45ef\nV3Px/HFStFoKu3nQ67MhdOrU6T/qL/lXOJT0l83Vhvzz2CCN+O91KPkHfx127dqFsOgsiDedF6mp\n9hw8eJDOnTOrZ+/ceYikpPc7zhWIgHUJYb2fFX0RPtMdgCREnq2WmfMVAmMQ6L6HQndzD2wAtuPB\n8AT0e8Wy0h7KnobnXVC9qYuVfVUSUzyF/VbqafAemRnYjDq42gWa/Qwlu5g/vnMF6HIG/qgNt5dn\nBjff8RB1A/a3h+ZroeH87PvpE+DiV/BqPwy7kH1bfDDY5NIp390Bc46b3/Y+KjeBFB08eQBl070f\nnVzgy1ngVhTjjxNRVTOvgZOTtei37qf43YKVtHEZ15O0SStRly+NIuQVvn98hUItvsbJvcK43XrK\nO7cbhVJB7fldqfRlcwLXXkRhG8HFaWdITUql1lcNUb3HqHwbksCxfrtwdLOk4TjzubqIezFcXnYH\nCROhD98S9jiJas3eL4JrHrYOKgp7aRj28Vtc3JQ8vK7jbbyJpo3bYGPxiuP7X9Klpxi11m2k4vIL\nO04dNrBrYyrR+0xYWEKVWiosbMDJqx3efkfp3FBBS98U1CqoXBoCHoO7MySlwtoZ+UsgQyLg+MUk\naif8Ro/GSXStDA+CYNMJI0q1PaPHTuDw6NGoVCq+HDuCzVs282ljidGNdNhoICjiLj/NvMjYUWrW\nbdxGq1at8j7hB4QPXQpQ4OAmSZIG4dRfBlgCVAUeybKcB//5H0DeWpdjx06TmGjeYd0cEhMrcvr0\n2WzBLSEhEciaH7mNEGdfJ3Oa8n1UQVQSCiAzsPmTXedWA4gHy66gzL/cCrYTQbcNTClies4Qg7V8\nnxP+R4iNjWXE51/wOrmS4FK7tc3cL/QPEbxyC2wZSEsURJIXu2Ffe6gxEYo2gdZbIOB72FYdClcX\n05UKNcTeh2e7oEw7GH4peyCLeQIxgYJAYg6J0VCoAJ8ZRA9ayFN4Qr2P0uWgZBlST5xHVSazloss\ny6RdCEC7YA2oVbzq/g2WPp44D+2CdcNquVYJsG1eC/29Z3gEbCey1WDCNp6m2GCRA7JwsUP/Jgmj\nPg2lZRbCirsDvlPb4zu1PUkhcVwa9js3PRdSwa8qLhUKYUoz8mzvI8IuvkKhVlJnRdMcs8kmk0zg\noSB2DzlJkcrO+LZ1ocvUioxy3oNSVfCXchtHNSUaF6VYZQeqDFSyts9Ntv6+g4sXLzJgUFdq1DPh\nWUKM3pRKidYd1bTuqH53z6aOM1DcsyRbt+8lJiaGDevXcezmRa5evUxaSjRJerCwhYRkWL8HBnbL\n/VpkGSYuhI+bwOapSdm2zR2hZ8+5aIbPm4Gvry8/r1pMcpg/Qb/occxUL9C0CgxonYj/Xfi0V2c2\nbNpFu3bt3m3/kHVuHzoK6i3pDZxCdEueiJ5zKNBakqTWsiznXcf+H+SKpKSMacGCwpLExORsa1xc\nHBElbzLwGyJnlsdICxDeknl5IipAsgObAQW7NFVpsKgMiWdB5Yp12CfMmDaR+vWFcDg8PJyRE38m\nTWEL8bfBvjKo7SF4LVQfl/txE57BxS8h4iKU7A7VvhVTj6eHC9pcnZlQZxpUHAKbfKBwSdHDeZaH\njo/Azkw+6NyPUGtA7sJtC2tISRL12woCXRJocjELHjoR7ZpZWI8UdfOMQcEk9BgBScnYDu+JZpIw\nOtYH3OP10LkorS0pvvMHLEqZqW2nVAAyEuAwaQivvplP0UGtkCQJtbMdDrV9eLnrNqV7mxuJg62n\nE60Pj+Tts2guj9nJ/XU3kGUZhyLWfPZHOzQOlhyccIHjky5StVdZbN2E/dbd7U+wsFZRoZMXT0+E\nsH9WFAfnPMbCWsXm71/Tf4YnNmaMlLPCaJQJfaqj1+riuJcVtWa8aj2jbv3qlC9fhlYtu9GlwV5m\nLjXSppMKVZag+fK5kYXT4en9YsycMQcABwcHGjRsRJrByKFjx+nmp2HgWA1epZUEPjDwadMEJAX0\n75xzBKdPhXE/wpU7cHdjzmuVJOjWBFzstXTo0oHKpVScma3FMicXCBBBbu+3KXTs04OgV+HY2eVi\nx/YB4f/KyG0psA/RY6Y7q9Eb4cm0mJzJmn+QBXm9uRUtWgSF4kWubK/3oVTG4eGRfRqoV68uHDky\nh8TEvoiyMkcRJfHyQzDZK3+bu04jKPILklkgFUYTOQZrixQWLZlDv36fER8fz/z5P7Fk2SrSdI6g\n8oanm+HBd1CsJyQGQmHznTFv7sPBVlBpPDTdCuoswUaWIfwMnO0PyWFQbQzU+AYerYbB/uBiZrpM\nluHUdAi5DKPzkGg6l4DLe6C9Gaf/9xH5EiJfQVkzSuC6TSE2BtPXIoAZg0OJa9wD+wkDsB/zWbYR\nmmU9X+xGf0biii28aDyMUhfXYlEi+3S1PvAVCjsbJJUKq1b1iO4fh/ZZODY+4hkV+/wj7s7+Ha/u\nvigtcv96W7nbE3snFK9WpXCr7k7Ki0jKtfMCYNSlHoTeiubB/he8fZ2Ipb2aBiMrc/L7AAw6V3r/\n3oai1QsjyzLBVyK48NMt/MrcZeYf3lRuaJ/rOa8cisO5uPW7wAZQtLI9mmIR+DZL4ugWI0mJMgum\nuDJ1TCyNW6mwsJR5+UzJwztG+g8YxLqVs0hNTWXK1G/49ZfV2NkbCA1NZsNBO+o1yYw8ZSuq2O7v\nwMgeiczbaGJYN6hSRhQ3PXMN1u0RhJSv++TtdNK4GthYpjKzV2qugS0D9cpDk8rw+5YtDBsu/m8+\n5FHb/wkpAMLCYnlWRkb63/OBf01I8w8A8PPriZXVVYSxcn4wABdZsWItNjbOuLmVZOTIcZQpUwa1\nOgy4gRjBOQIFcSpXk7ebCYBdejmbgkGtjGPc5x8TGR5Ev36fER4eTrXqDZi38hnJjqehxBMoehqK\nXgbPB5BYCAxJ5g9m1MORjlB7AVSZkD2wgXi99mgOHS/AtRmwxh7uL4MiVWBlTdg7DF5fF87/b8Ph\n+q+wpAJcXQED9vw/9s46PKpre/+fM5KZuBFISIDg7hBcizvFHYpLW6ClQAtFWkoLF4cgLU7x4g6F\nhODuEhwCCSGEuIzt3x87QGQivb/23vK9fZ9nnuTss88+ezKTs/Ze613vArtMpMqCj0iZrm2zMueY\np8beRfBxb7DN5Cmp1YLJROKm3cQO/QbHoV1x/ry3Vdejoig4jeiJw4gePB/yU4bzr+duxGI0YX4d\nhaJSobg5E302+N353G390OTLw7EeazAnW/9sjXHJHGzuT54KuWm3pTMuBV1JjEqrJOJd0YMmk6rR\nZk4din6Uj6PTL9Jvd2u6rmlCgRpeaHRqtHoNhev70GdnazqubsqE9vcIvmT9s0xKMLNm6nMaDE+r\nXGNIMlOkrI7WvZ1YdNCVFSdyE58YRe/ew2lUexbVyk1n5PDlPH0azswZc4mIiKB69XI8eTGf344k\nUqx0Il9Ns01j2N6ieGkNh2+6MPVnJwIeaen4BXy/FJKSYZ8/RMdB62xSMa/cA1sbaJi1ytY7DG4S\nz8pf5ues8z/4S5HTYqUhQA8hRKCiKLFAeSHEQ0VR2iKNXg6DE/89/DfZkln53YUQlCxZgbt3/ZBp\nAJFAEHAJiEe6LEsgNasfAoFIsogTEIlWuw+1egf16lXn2LHzGAzzkcpoVvK3MqAl0AVJMAHr2pKj\nwM4WnH/IfjhLBPqYooQ8u4+7uztGo5HSZf24H9EG4Tol8+teVIQ6E6FQugBJ8Hq4vQJaHLFyTQDk\nTTXXO0vh5U7ot1tS8GNC4dQCOLtE5r9p7aFAdag5BG7thXtHoP4XUKmHrBhw5wAEzYeXt8AQD7lL\nSMJJjZYwYknmzIRze2DhANh+BrwLZDx/JgC0NvBFT4h4iaLT4vMiEJVtFjqWgEhKJiRfAwqf/gVd\nEfnvlRz8hPsVeqKvUBTnicOxb16Hp8Vb4lLWm4pbx7671pyYzLXOP/Hm5B1sPJxR26jR57LHp2Fh\nLMkm7i47iXsJd7r93hu1Vk1cWCwrSi2iy5pGlGqVtu6gEILZZdbTbHoNSrcpRFa4sOo2N5ZfYGFQ\n2kK50a+NTOlyH/u8TgxYXe2dURdC8GXBvfy0yo2q9d8vDEIeGeldLZygwPOULPl+rISEBCpWKkHd\nRmHMWKjheYigTrkkzjxxw8Ex+7jfuIGxFNUb+HYwzF8Hx8/C1u+zvmZnEPy8HfZMznZ4OfcI8PvS\nmRcvpeTJh1zPrYNY96eM9ZvS82/NllwCLFUUZSxS7qKkoigfIVV3/xy+6P8oFEVh3brl1K3biMTE\n20gySG2kB9gNSdU/AyxASlr9zPsyNG4YjZ9hNPYlKGgklSuX4PTpvsgd2T2sq/unxlBgMu+NmzUM\ngcS64DQBlGyUahOW0apVG9zd3QHYsWMHD58pCK/JWV/nOAauzM1o3G4thVKfWb8mPQr3gAtfQ2yY\nVB1x8oLQK1ClD7SdndY4lWwhE7hP+sPOL2TczsUH6n0J3hWk6/LRCTjlD0G/wbM70Hc6lExV5Tv8\nCexZBAFrYNkO64btLTYshe594WQA9mW9sjVsAIpeh32vNkSt3U+eKYNIunaPx62/QJgtaPO4IRKS\nMN5/ijk0gogX4ZhiEtA42SHMZoK/XkfkyWDsOjbDsVtLVM4OmF6Ec9d/I4mB51FMJjrv74FaK91O\nDp6O+DYuxJ29jzMYt4fHXyCEoFTrzIrtvkfFHsXY82UQ675/RulaTiTGmTmx/Q3HNkZQpaMP/Vf6\npdmt3j3+CkOckSr10sYqfQpq6TDYnkWL57Jw/tJ37b+u/5WCRaNo01GOceKYmTqNtTkybACtuuqZ\nP85A/crwzQI4kYOKlFqNFGnOKYwm0Gr/b5DQP/SYW04VSr5HbhcWIJOjdiNLOc8Cpv5ls/s/guxW\nblWqVKFLl07IndlcJFenCNK4+SCrDC0BKiBjaaZ0IziRkDCPq1cfULNmdWRlgJy4RpojNbBnvZ2p\nlT7FQdSFyLaSxp8Zko9A3HRSpd8x+svJmB3HZM/HdugAbx7Agy1p29/cAs9Mwrmpd20AWgdwKytZ\nkABh1yHsGrSekfH+igLFm0CLabIyd8cl8NUtqPYJ+FSCfJWh7ucw9g40GAtP7sDEJjCwCEz4CD6v\nCINLQMBaWH8UKlQjUzi5wJFd8MsCVGFPsCmXc0FpbYlCxJ+6xqMWo3j40Qi09Wrg8nF9jM/CUedy\nIXrReuzK+qIATxfsRQjB9f6LeH0tlHwPD5J72RRsG/ihq1QK+1b18dq3BJ9LW1F5uHF99dU09yrR\nrSyX1t7hXjqx5Otb71O5T8lM2ZupodaqqdqvFAc3RPHL5DC2+kfiVNSD8q28KNEwT5oKA7ERyfzc\n5xzNOttZHbvDIHvWrV2HyfT+u+7vP4OBnyZTu778ksXHgZNLzhOqnV0VnoYqdPjSHpNZRcEchJLL\nFoJzdyHeiviNNRy7BuXLlXt3/CHH3D505FQ42VkIsUAIkR9wBFyFEJ5CiBkppXD+wf8H7t69y6ZN\nvyHXC26Z9NIid3NvgL1WzjuSmNgFR0dn7O3jkCojmahvvEMAcjc4BRiNTPBODRMyVy5IJmVH1IHE\nbSBSGVfTQ4geCW+6gstGduzYxfPnzzGbzYQ8DQb71tnMAVB0kHs3/N4XbiwBc0qsSJhB+QOrR1MS\nxKS4Y88shmqDZJmbzLCxHzT/ASp1z2ReCjQYA9UGyOKqP/hDp26SQDL9CFRqAt+OgEgrKQAAl89A\nv2YgzNj/ugRN4/qI5JwLSguDkeQn4Wi6tscj+CjGs5dxblIFY1gk5sho4jfup9imbyl7ZiFPFuzl\n/tdreXP5KXl2LULtYp3YYVO8IHmPryFwYiDRj98LI7+6/pJirQqztuM+tg8P4FWKaHJCZBJOeXPI\nGAWcfRwo2TAP3wQ24Mv9dWkzvgR6Bw0WkwwJWCyCawdC+a7aYZKiDTi6yGTu9PDMpwVFEBUl3Xux\nsbHcvfOY+o3eP7KcXeFVWM4ePxHhFk4HGBEqFw4cDCS/jwdrD2Z/Xb484OIAGzMp9ZcaQsCi/Q4M\n/XRMjub0d8f/RFUAIFxRlF2KonQDEOIPMAz+Qbb6cvPm+WM0NiT7WmwapKTWRqtnhWjH0aOHOHx4\nD7a2AimGvIaMCv1JwDKkuLIjkuz6APBBUZojJbgGAl6gTASH1eB4GnSjIG4OvMwLr6pAeGmIqAaG\n26AuAvqWYNsNf/9lHDhwADBn78p8C30l0BaEG7/AGm849SXo3OB1JiVtXgSkPbYYIfoe/NYfVreB\n+0egaCY5bABPz0P8K/DLQZpDg69kvbdcueHGRWj7GZSpBaNWQP5K0LAYfNUfju6Bs4GwfS10+wj6\nNIWkBOxWLkDToDbqiuVIPJzdguM9kg6dxOGrwdh2bkl0/6+wr1CIqANn0RTy4fWw7yixcyo6Hw/s\nShek6K/f8PSX33EePxCVfdZ/c22hfDj0as2lZZff3ysyEbPBhNZWi0Wjxb/2b/xYeA33j4aQHJNz\ng5wUY0Bvn/aB9uBMJJe2h7Ci/1nGF93LjvGXGfi9N2uDK3BsdyK/zrcuyW8xW96pfiQmJmJnp0Gl\nUjgRIP2EHzVVc/a4kYjwzA3c6UAjAzvEUq94FBuWJ+PkauCjRrUxCZj4MzzLplzi/tOyasC4VVLX\nMivM3anGpMlD06ZN37V9yNqSJtR/yuu/hZwat7pItd4fgJeKomxWFOVjRVH+SILWP8gEv/66HpMp\niwdxGlQEwoCMtbbAGUWRxVBv3ryMTAvwR+a7DUDWlv0E8AS+QRq2vkjP8iR5rEkE5QCoIgE9OF8H\nbVOp/G/TDRyDwPE82PqD3QZZ081hN5ifgPE2yUpHdu85yoMHD0DtCKac1aJDmMEUAS7VwSaXFA/U\ne8LNeTm7/vEOcMgLZTpA+Q5gMWW9a7u4Fvz6S/JJdrB1hrIfw4q5sHsjNE+RyVKrYcC/4JdgcC4K\nyxbBj9/Cjh3w0WDoNA7s7dC0lg87bac2JJ+5ivFRSLa3ND15TtLJS1gSEnhduRU6tRmbPG7E7j+D\nY2lvyp1ZgKPfe7KFrpgPliQDDh/nTCHDYVBXrq++9u5Ya2/DyxuvqfGlH83nNWbUs2F039+Z6qP9\nuPbbgxyNKYTgxtZ7lG6Y+13bwwtviI9MwtvbzMsbkdg5KNg6qrh9Lo6YSBNTtxfn5+8jSUq0YDQI\nYt6YMRoFty8n4eTsiLOzMwAuLi7Ex5uIiXm/y3NxVWj1sZqVCzLqVQIsnJ7IyN5x1Gui5exTV47d\ndOHwVT2nH9vSb2QcFo1CpQFw8lpGCVSjCVbuhd4/wO5loNPbUOsrHbvOgDldDC48Csas0DB/v/s/\n2pN/I+Qo8imEOItU1R2jKIofMgg0HVihKMpOIUSfv3COHzyy8rsLIYiNfQ3kzrRPWqgBDySrMj1J\n1YzJlIytrS1OTk6oVAoWyzxkXO0EUk8yGeiDLIVTBskPegsFoV0K4nuwhIF+sDRqAOb7IMIBPahL\ngpKOQGHTA5I2g74V8QnxKIqCyqEwlpjl4J4NJQ0gYa80ZmHb4OOrYOsBhhjYXBjCgjLG3lLH3Awx\ncHkKFKgDSU8l21Grh7BbkiFpDTGhULB29vN6C6+ycHwuuOeFXOmSq108oMt4+UqNuZ+g+3L4u5iS\nYmeHzbBPiOj7NXkOLMuUWCKSknnVaRQiIQkOHMGlUSVijpzDGPyY8ld/QV8wY1K6MfQ12oJ5UWyy\nScZKgba4L4lh0QiLBUWlwqdOAc796xTle5fhwZHHnF9ylbCr4ViMZpJeJxB24zWeZdyzHPPxiReY\nEo2UbiS/y2aThVXDLmExw/0bJuoPLYZXcUeMyRZuHg7j87q3KFPTAQ8fG7rXeMHjW4no7NQYEszk\n8bWlYYOPEUKgKAo2Nja0at2EzWuPMGD4+wXJ2EkamtZMxreImk593v89NyxPYvOqJHadcSaPV1pj\n4+Ssot+nepq01dKuRjQfTxB4e0CHuuBkDyHhsO4wFMoHh1bCq0hwcsnDzFmL+W7SV3z282NaVDFj\nrzPz+JWeI5dNfNy+PWfOzyFPnrQi2x9yzO2/qej/Z+Dfmf0VIA/Sh9YFqPGnzuh/DIqioNHoMBqT\nkVydnCAZ66omJyhWrBw6nTxXvnx1Ll8OBBoB2bHd7gECVIVB2x2SBoLSHZJXQpI/WJ4DBZDpCaGg\n6wO6T0GdYuRU+cESDObnuLm5UaxYMdTEY4n9GZw/BU0myvoAwgjRP8m8s/wdpGEDsHGC+uvhSAeo\nuwLytcxIDol7Ckc7gWsBWQbHEA0ePpDLF47PkSQRa1DbSFdjTmFMhOhImTaQU8SEo/ZNW6he9/Vo\nEh884uVHn+A2aww21SukocYbzl7l9dApmB6FgMlEwpkbaHQqCs0djvNHlTItWqqy0YIhPdEocwiD\nEUWtevf3dCvmjtZOy9qmWzAaocTwepSeVgyVRsWN2UdZ2XoPI053xNHTevztzZMYNvU6RPeZpVGp\nFBKijcxpc5IXd+IYsdGPCi3SJqOXqu9Bk8+K8G31QDT2ttQb70ffjkXQ6DQYEoxc2xRMwNyjVKpW\nkZ5deuHm5ka7tt2ZNOU4XfuYcHCQ8/bJr+K3QzZ0bZnA/m0Geg/TU72ehn99m8DafU4ZDFtqeOdX\ns3iLIyM6x/DdFxB4DkJfgbsrHFgJZYvDzXvQd7wtPy9fTMuWLWnZsiUXL17k1KlTJCYmUjp3bpZt\nb4ura3YhhQ8PHzpbMqd5bnbIpKgOSIpdNLAJ2CSEuPCXzvBPwt81zw2gevUGnD1bHun9zQ5hwNfA\nISDtyt/BYTgLFvSnb9++AGzatIkBA2YRF7eYtDs0a5gEah3YbZWFSOPySGUSiyNSjKYMsqpASeAx\nMgNkDThuB01NSJwO6jfY6x4w8/vGDBo0EHunPCS7fgyvz4PnftBYkcESyRDaEWyTIOo0dA4G+3Q0\nttBAODEI1Hoo1g/s80PEhZTXechbHaLuQE9/KNVUUvstZphQFFrPhrJWNCsD50DIReiRw1yeRTWh\n42BY+DlseJ4zWa5JzbGpXxzbKWmLWwqLBcOSlRgW/YLKwRZdFSm2nHzyEuZnoYiEJIoknye0/Ujc\n/ArjMzGrVA0Jc3wiF7w6ke/WLjQ+WZefAYjf8Tuv+k/Ep1jb0IkAACAASURBVFIuqo2piW0uO9bW\nWkHlKS0pO6ZRBgbjle/3c2/ZcT4aX5lKvYqjc5ACx4lRyVxYdYtj0y/g1yEvZRvl5uKOF5zfFoLG\nRsWw9dUo3yzjfEwGC9ObnMClRB7aLGqYhkn57j0ZzWzsvp9Hx56Rx9eBiIeJuLo44OQUze7jCk5O\n7+cYHy/4bYOZXxaZuHlVULqCmgOXMq9H9xZCCOqViMavmGDmVxZ8Umzw0xewdKOGn7fYMGfOEnr0\ntFI5Igf4kPPcPhJ7/pSxflda/Vfy3HLqHH4NLET6wloJIfILIcZ8KIbt746xYz/DweEwsmBodjiI\nJJWkNWxq9Rrc3MLp0qXLu7b27dvj6ZmERrMimzEPAb+DpqU8VFRAbmkgeIbUyf4KWfC0GJJB+S2w\nCmLbS5elcQeoCyKSjtGzZw/UajUlShSFuKuQtw08KwURn0LSBTCFguEOvPkenhYB02VwKgGYMxo2\nAK960PE2VJsFb27C/TXw6iy8ugDeNSH6Dow/BWWaS8MGMpY2aBNsHQjXfssYVKnaF27vhdj0DFEr\nCLkMMSHQqAeUrwvHNmR/DUB8AqagsxmaFZUK3bD+OFw/ie6n7zBXqIK5fGXM0XEIO1tQq4ic9gv2\nLevyamOAVTZheqjs9GjtbIlZZJ1slB6x/utxKe+DykZDwNgjrKu1knzNS1Puq8ZWqfkVJjSn9pp+\nnNnwhKl5ljO30kZmFFvD9IKrubnzEU5edlzY/oK1o6/z+HYSbp5a8pV2smrYAM5uCcFg0dDG/yOr\nhg1kakHX9c1xzOuAYm+D0WLEo5KGe/eMVCli4YdvBffuWngTKXgZKngZquZNhB0lS/nSqW/O6ACK\notCpjw33QktRro0d3nXkq2I7O+K1Awg6cenfNmwfOv5X2JLtgLxCiGFCCCs1cv9BVshu5da6dWu8\nvbVoNFvJ2sBdRCqUpKauP8DGZjKenjs4fvwQtrbv3WY2Njb8/vseXF33IPPvg9ON9xytdg4uLvPI\n650PVClajMbdSKNWAdgC3ECqptwGViHL6NRKOT8UEsaCeIGteQbz5v3rnWhsuzYtUClxEB0EVfaA\nmwu87g3PK0J4S9A9gNxNwRwLT9eB2SCJIKmRFAHPDsCTnaC2hVpLoPEOaPE76Jwh9DR0mQPOVkoG\n+VaFT/fD/vEwp5LM2r1/DO4chCPTpMFb2yVr92RiFGzpB93GgloD7UbA5h8h9k3m1wA8vQMPL2O5\ncoOYQpWJzlWUGN+KJAwchemiZIAqKhWa+rXQDeyNulgRREwctk1r4fL955jik3n940qMYZFEH8p+\nDRlz9DKWhCSMy7eTdDoThunbvks3Y773mOiLDyndrxI6T7nDqbWka5bXedUvRovjX+BcPDcWoRDz\nIh5jgpHQqxG4F3Gl6/rmjH3UjyIf+RAVYab+oMwVTQ77P6LW6MqoVFkv6NVaNbW/qIzWXsuXN7oR\n9jAZv675MZi0PH/Qko5NHKhUSKFdQwdeP+/C3j0nqVipEo5OOd8oODqrqFK1CqFhkZw5d4ez5+8S\nGvaGufMWU7x4+nJRfwwfcsztQ2dLZhpzUxTlE+BXIUQysuBYn8wSOYUQ2W0N/kEW0Gg0HDu2n5o1\nGxIa+pLk5DZA6gqLb1CrD6FS7UOtVrCxGYeiOCFEJIryiiFDBjBmzM/vlEHe4unTpzRo0IKEBCek\nV+AzpO6kK3IT/ozq1WvRtu2XHD16jFdHx2A0L4ak/sid2efpZqogJcI2InPyWgLbwFQStUbNzJ/+\nxYAB72NcA/r3Y/qM2RgKt4bLbcClBhQYJMvRxN+BF+vBqTAU+wQSnsOLgxByAPK3kqr/V2fA093g\nWhU09pDwGIxvoOQQ8G4MpgSp3l/WehFQAHyrwJQ7cOcIbPsaol5IzUqnPNDya7iyGxY3gNazJPnk\n7XfcYpEqJnu/hOqNoe0w2V6lCdRsC+Mbw6QdMr6XHnfPw8RmYKNF1as36m49IE9uiI7GsmM7CV0H\no65aAbvlc1FsbbE8DyWh/6coDrZ4rP7x3c7JZfpooicvJLjLVEoHzcO+rHVjkXDzEcG9fkTv7cmo\nTt2Z3eYz7KYOw6F3mzRpAaawCKJmriRm6WbUNiqwWDj86QEcmlbDu6UdtrlzpmRffGg9LozbwfjH\nfbHPlTEG+eZJHGobNV4lrI8XG5FMyI1oSrTKWs7rLcp1LsaOwb/j4GHLwENtmFdlC1U6eaI12fL0\nScYcw1zunoQ9z9HQAIQ9B3d3T3Q6Hfny/e2VBP9BDpEVoWQishJAcsrvmUEA/xi3LJATv7uXlxeX\nL59m5sxZ+PtPx2Jx5a38lsHwiC5dOjNhwmW8vb05f/48MTExuLi44Ofnh42NTYbxwsPDqV69AeHh\nHTGb+6a0moCbyJBpPLCboKDTnDvngsVSFKMxARn3q0VGw5YaCvIrcRI4gVpdhlUrP6dnz55pevn4\n+NC4cRMOPzZi6PIUHm2SeWsmA7jnA7/Lslq2EHB6ODiUhOtzQNFAQC8o8hU0ngu6VEb7zUUInib7\neVeFXO5yR5UVVCoo1URS+td/CoN/h0vr4OFx0LtC3Cu5g7Nzg1xFQGcLT86AvQP0HivdkakXdkP+\nBeunw5CyUKYONOoD9s4QGQpH10DweSheDO2mLYgbN1CKpaiSOLug/mwkqsFDMQ8dRHzXQWg/bkny\n9/9C/1l/kpeuIXLIZAyXbmGJikVxsMO2aS3sBnXlRo0R5BnSBs+hrdEXlmzNpEehhM3fxstf9mHX\nsw02Vcvy+8ZjHD94mHFTJxM4fh7aOpVQuTljDntF0umr2JUvjG0BD8xRcRiNZkoFLSJyayBObyyE\nBgTjVT97BRXHgu64F3GxatjiXydyd/8TXAs4YDZYzz9LiDZi765HrcmZ40hrq8HGXktSjAEHD1tK\ntvElOuQN549tZ96sKFxc0sbWOnXsTu9+axkxXmS7MzSZBNvWwt7dXbLs9+/iQ67n9n+WLSmEKGjt\n9/RQFMXjz57U/ypcXFyYNu07Jk/+ltOnTxMZGYm9vT1+fn7v8n0A6tbNnnjy9ddTiIiolcqwgfy4\n1cBWpGtxDLCNZMNbptcxpN7kVzmYrQIMA2Zhb58XBwcHq73WrFhMJb/ahF5XYSg7BYqmS5o2xsPF\nr2WttpoHIbA6HO0GNfaBuxUirmtl8PsNTreRkl15siFPJMXBuQ3w5ALEvoSoEIh+DjWHytdbWCzw\nIBCWNIQvf4GCn0LxqtalwxQFenwNbYfD4Aqwcz4kJ0LYQ6jVGMKc0G7eiuLsYtXJrOh0qJf8jLFB\nXVj0M/bLZmK5dA0R/hpLkhHnWeNR5cmFJSqGxC37SVi1DXXhAkQG3SR81cF3OztzfCLqUkWwmzkB\nw85DJOz4ncsJyVSqVIkm9Rtw5vJ5XPwKosnljMatPC6bx6NxdkAIQczRywR3+56Ey/dQ6bSYE7Or\nDvEe5kRpnKzhwNen8ariic5Ry7VD4RSrlbE6hd5BQ2JUMhZL9sYHwGQwkxxnQOcg0xyKN8nP+u53\nyVc0F3fu3KF69bTpHjVr1sTeNjcHdrykxcdZx952bDCQz6cgFSpUyHYe/2v40NmSOS1WagY8hRCv\n0rX7IgMy1p9s/wD44353rVabIwOWGWJjY1m/fj1G47ZUrUakK/FUyu9LQEkfKC+B5A7lNP+rJdAD\ns7koAQEBXLhwETs7W+rUqUPt2rVRFAU3Nzcung2ie++BHN+eH0uhXhhcqsjLw8/Cw18hdyOoHQg2\nLuBSBVwqWzdsb6EoUGMHHCkOjzISNgBJhtk9BQIWQaG6Uksyrw24FIbF9cGzDHRaBu4prjGVSiqa\n6B2ganPIlQPhQXsnQIER/uBbGu5dgvENUI36AsVZ7iZUta1rYyo2NmjGjkOsWIz5zEWM2/biefsA\nau+0xlpXrQJO347g9ccjMJy7iseiccRtPkxi0GVsJ36O/bhhKIqC3ZCeJB8IIKbDEFavXs3UGdMp\nenYBunwZ8ycVRcH5o0qUOjSDW42+pOCKsTxdtIUac7MoW50KIXuv41vjfWqHEIJrW+5z6NszxIUn\n4FPRg/jnCRw+HkW7CSXQaNPlmeXWkcvXnvuHn1CsqW+297u14wG+Nb3Q2srHVelWvtjn0iEQGAwZ\n1VMURWGx/2ratW+Ku4eRanWs5/4FHTHw3WjBgf0rc/S+/x18qLu2/wQURbFBEhU7ImWT5gghZmbS\n9yBSckkgV9YCaC+E2JXp+JkxsRRF6QP0TzmsjUziTr+880KWdsu5Gmw2UBRlGlJOQ4N0d36VGYdf\nUZSlSJ2o1G94lBAig2rwfzMV4D+NrVu38sknC4mNfVuwQSDdiDFAe2AfKFZovuIe0Ay48wfu5gaY\n0bt1Jcnki1oVh17swsNNy79mTqFDh/cPzMePH7P05xVs33WAe8/isXh1ggL9wS4lzpH8Gg4Xgcb3\n07oiM8P9uRD8HYwNAO9UhUItFljRC968gK6rwTV/2utMBji5CAJmwrBA8EipniAETPKAbl9Ct7T0\nfau4eQp+7APL70rjKAS00aO9fhslV/b19ITRiLF4YRStGs/re1B7Zu4EsSQk8rJMCxQnR/SDuqPv\n2R6VU8aYVtKm3YiRU3Af3QGvMZ2zncPDEfNQuToRu/cUNac1IV/z0ln2T45KYKPPBDotq0/But6Y\nDWZ+G3iU6KcxtJtRlTKt879zN/o3P4BXQR19F1XIwMA89ssjTvwWQZ997bMUZbZYBMvqbqbe52Up\n3+l98dlJeVagMpqoV7c+DRu0oG+ffhnck0eOHKFrt/bUa6qh11ALZStL43j5rIm1/ipOB1jYumX3\n/9dC8u+CvyIVoLI48aeMdVGpbXVuiqLMR9by6oNUpFgHDBRCbLbS9xmyltfxVM1vhBCZuhyycnpv\nBY4Av6ccn0j5/e3rCDLZKWd6PzmAoiijgV7Ax8incDek7ywzlAK+QBpZz5Sfy/6s+fxZ+E/ry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zLCyMpo1r8mTNQpJyYtyS9soSNU4p6w1FgbIzIPE5xAfDjarg2gGUjBJimUJRk5SczEdNWnFo\n/06GjfySZ7mqYWg/Fy5uAudCsPMLGHYMdFmUpjmxSN7XGA/tBlvvExUBv/4ElRpnb9gA8peAAqXh\n4lHoMwF6jIPgS4jYN2DrAMUrQ1wUbF2Ibd9+qOxscdu3gsjGvTEGP8ZxZF80+d8nkJsjIolftonY\nWcsRDo7EdBmBS/+2mRo2AI2HKwVOr+Zh0bY8G72QJxZw61wfjasjhucRRK07SrFChdmzdRvtO7Wn\n44keuBZ155fS/lQZVz/bt6goChU+rcnZacdIjjZx++BzSjXzITHKgH3unNYkBMe8jjT4rCRVexZ9\n11a6VQGaTa7Cvonn+KbuOX44UY08hWy5dDz+nXELf25kZJsQBi8rR9U2GesE5i/jyMhfK7B5yj0W\njXrChscV+KT4Wa5cufKPEskfwF/JlhRCJCqKsgbwVxSlH5Jz8QUpudUphMFoIUQSsgzJL4qiBCHd\nkL2QLqpM/mklckQoEUJYhBAThRB5kEwWX+B7ZD7a9X/jvWWGxcB0RVEaKIpSD5kGMPftSUVRcimK\n8vZptR1ooijKp4qiFFIUZQQyUJTD5f9/Dn9Vrsv69esxm9uRtshpElLYeAjZ0+ZKIGvNTkNReqFS\n9eSL0QUICbnHqFHDCAgI4PDhwwQHB3P27Flatu6Mb6GSrNp8kaSY3yHpeNbDW+IgdhIUS5e6oihQ\n4mtIDIVyYyFiDYRkojRiDS+vgtnM2XvQo1d/tv22leSW0+S4Wr0kn7iXhaVNIOJ+xusNCXDkBzj6\nEzScKfPe3NPJeF07CRO6QJeicHADVM5Z3hggDeHdiynjnJDElGpNoVwt0Onlbq5IcRQH+blpihbE\n/cw2hNnCy4ptedWoD697fsGrlgMIK9oY470nOE4dhapceTBbcB/VI9spaL08cO7eDO9uNan4yyBs\nLQkoT55gkxyL2mDi7LHjREdHk6t0btyK5SL+ZRyxz2PwruObo7fo26I4EVdCqbOwPat7H+fBiTD0\nTloSI5OyvzgFxrhk7FwzhtM1OjVtZtSgQB1vhhc9o3TdgwAAIABJREFUzq0T0SyeHMnxPbGYzYK5\nX4VTo0teq4YtNTp9WwTXvHp+X/+a5oNcWbh4bpb9/wp8yHlu/4GqAKORxup3wB/JgHwbUgolJR9J\nCLE+pe9U4BpSaaJJag6INeQ4Yqgoihpogcwmb4mkbJ5GUvL+LMwEciETyM3ACiHErFTnzyOzkKcK\nIU4oitIVuav8EXgEdBVCnP4T5/O3xpMnoRiN6WU/g4AiyKrZOUEX1OpxTJw4mgoVyuLu7k737oM4\nHhSAXl8O0BCfcBGzAOHzHZT5hWSNE7gehuCO4Loa9M0yEkvMofCmM+SpAvm6Zbytcxmw9QaX0uBR\nDZ4fg6jH4OKb9XQtZri0DBQNySV+YufOmmgqtQWHFGp8/soQ8gkMfQwXF8H8muBdCUo0lTlw4Xfh\n0q/gXQN6nYKb60GfjvywYbZ8tRsH/ZbBz8OkAcwpNDZgzIRp+vAG/DoTdFpMdx68a1Z7euA8bxKO\nP4zBcOw0ljcxqBzscFkzG5W7K3GzfkEIga5aObTeGSW1rMGpZ0tCv5hB8Ykdca9d4l371eBXbN26\nleDgYHT5pDvPGG9Ea6vJMV1epVahtbchTxUfas1rx8Imm3Er6MTN9TfIWyX7HW7si1heXHxJ4ToN\nM+3TcpoflzY8YMLBaoTcimPO1w+YM+YVES+M/Hg++x2Yoii0G1uIPfMeMHpxIeb2+ada198JQohE\nJC07gx9cCKFKd7wEWPJHxs/WuCmKUh7oiywilgtpUbXIoqVZ5hn8UQghLEj2g1VVkvQCzkKIbcgt\n698afxVbys5Oj9yppUYEku6fU3jj6ZmbSZMmsGCBP927DyMh6VtQ1pBscgDLYVD6QNkAsE2lsubS\nGIr9Cvf6Ao7gMBw0BUAkQPJOSDwAhUdA2SmZMypt80FyBJQdD8eC4MhY6LAxawbmBX/Qe0BCJDgU\nweJUkiTPVA8613xQuC7c2gA1x4PfKLi9BUIvyrptjt7Q5zy4FJSG8spiUFlk/E1R4MA62LIQfjgN\nuVLUU9y84dkfSKd8egvypXxVK9WXP00mCNoBs0eAxYxia0fyriNYYuNQOb6XZlXZ26FvlTa9QghB\n/KK1KK07oIm4l+NpqPO4Y4rKqLTi0Kw0U36cxoPge+RvWJADw/Zxd9sdjFHJmJJNaHTZr3kNsckY\n4w3YOOuxcdThUTYPxVoW5NTM89SZVAe9c9bsxAv+F6nUtTB6p8wXDfbuesq1K8D9c1G0+KwQDT/J\nz4YJtzm++hl5i+WgEjpQtU1uFva9ho2tQnJSMgkJCWzYsIHlq/15HvICjVZDpYqVGTF0FHXr1v3T\nc+E+VKYk/B+uCqAoyijkLq0skn2wCmlIziEToJ78B+b3D7JArVrVWLFiLrGxqckktkDiHxglEb3e\nlh07djJu3I8kJJ8Ele/708oUKDw/rWEDiD0F9/uAXRlwrAEJx+FNELhWhMLNocBiKYScFUxxoLGD\n3LVRKQqW52dg1yfQbD7o0slLWUxwfhGcnAHFe4JtadDYY7EtnFIxPBWajoUl7cCnNniUhrK95Cs1\nhICjo8CnGMS8gEvHoEI9WPoNjNr83rABFKsOy4bIZG6NFmIi4dBKuBEISfHg7AF1OkONNlKCK3CT\nLMMT+kjG6WJeQ+A2yFsYJq6HWQPx2DOXmCkLiJ+/CsdvMigOpUHyzsMIowVVpcqYN0p3p/FpKG+W\nbSNu30kssfGonR1waFMPl4Ht0XrJsLg5MhqNk9yVxt19weOlh4k6/5Dk8GgMETHovV14duYFlmrV\nKH1yGA8H/Iv7225Qolv2u6Lbv17Bt2UJ1DYarvufokAdb6JC4tE62rCh2SZ6HO6GjYN1w3Vry22u\nLr/CyNOZxw3fwrOMO89uhrJnzgNiwg3EvjagUis5rihgY6vGbBS8uJ+EVqsjXwEvStR0pslYN3xK\nFMRkFFw5cod+Qzvg4ZKfndv24emZTaWJ/xF86FUBshJOtiCN2mRgU8qu6u05I1BeCHHrPzHJPwP/\nTbbkX5XrYjQayZ07P1FRG5BpfyCT9xsDAaSNxVmHRjOH/v3VHDp8nEePeoA6VbkbcQ2UllDlkayx\n9hZx5+F2CyiyBlybv29/OAhyFYCS32Q/+eTXcKAwtLsP+lzY7s6H2RiHIU99eBEIpbuDb4r8VvgN\nuPQzOOaHmj/Bvk5QfBIUHgw3JoAxEEanczmd3wBbRkLd76FUd7BJtdIPvw6npkLyE5h8CII2wIXN\n0PlzWDkdpqfE/57ehF+GwssHUoar5XCIeQW7/aFOa2jYHuwc4OUz2LkSXjyG0nUAA4ycDcd3yp1g\nyAOYuhUq1pdGtZMXnufkDjW8Zhccp3yO3QDrVbCTfz9JZNtBqNdvQVWqNMbKZXHp1YLYDQdx6tkC\np65NULu7YH71huhf9xOz8SBun3Yh1+QhhI+cgbNNAomPXxEZdIfc/Zvh2qQKio2GxOAQXszbjvFV\nNMXXj8e5TlmeTF1H4q5jdDs1CLVN5qt2U6KRXystoO6CdoRfDOH8tGM4FMyFd9+G6LzdeLbkIIZH\nodQaV4OyPUtjYy+NXOjFUM7OOceDgw8YdqgFPhWzF5c+PP0yh6ddonZXb3IXsiM53kTAqmfo7NR0\n+rYI9XtlzcwMf5zA2Con8S3hxOPbiUzcXYqSNTMuuoQQbJzyjHObTJw5eQE3Nzcro/1x/Kfy3P4K\ntqSXeJh9xxwgVCn0p84tp8jKuHVDZu82Rfq+9iNJHPuReQj/GLcc4q/8gs+ePY+JE5eTkLAVmcsG\nkldTD8iuAGMytrYNWb58HgMHTSY+YTGoUsVALAvB/QYUSeXqFgKuloV8k8C9U9rh4q9AcBtocV9K\nYGWFuzMg/ibUWg2mBLTbcjNn1gxGf/09hjpL4dVFeH1dMjkdC0DJfrKC9572UGAwuFaB3PXh4VK4\n/gV8cxU8Cqe9x8NTcPAneHAC8tcFjR7CroIpCpoOhrZfgt4eTEb4oQW8CYF6n0C7MfDwMkxrBiOm\nQrtPpOHq4Qe+JWHWdnC3Qma4HAQjW8NnsyGvL2xeALfOw4LjkDeltM6VQNQLB+B5dx+KomAMfsTr\n1oNRcrliP6wn2tpVUVQKxmt3iF+wBkPgWdTfTEI9bDhCCMy1/bBx0ZF/73zUbhn1I03hkTxr+Rm2\nNcsTs3YPDkXyoC9XmMKLPn2nQpIabw5e4G7Pnyi57VuEwUTY/G0465NovqajVfekMd7A3i7rsXHS\nY5/PhWv+Z6m8cSS5W1R859ITQvDq0FUez9pFxPE72LroMRlM2OhV5C/vhI2rHb3XN8r6+5GCRQ13\n06CbB40Gvo8hX9wTxq3A1xxbFYJPSQfq9fSidlcv7JwyqpZsmHiXiHvRnN4dxeR95SlbzzVDn9Tw\nH3KfgjbNWDj/D4V3MsWHbNxyiz/HOReuFPh7Gbd3HRTFFVlvpxuyTLMJGXMbCSxNpw32t8X/1Tw3\nIQTDh49m+fI9GAyTkGIyV5A8nxW839Glhwnb/8feWYdHcbVt/De7m2zcgyQEEpzg7hDc3d0luFsp\nbdHi7u4Ud5fgwYKFEDSECHHXze7O98cEQjz9XtpCm/u69oKdOefMmcnsPHMeuW/9KTRtakj16uX5\n+ZcwNGmllLSLIU8AOHyV0xN1A94Pg/IeGcfGXncCA0Ootl1i7M8IwTfBtSM0dZESSt5uo77BUVwu\nn2bHjh0MGDoKLCqAYx/QzwMJYfDqAIQ+g9LzwGFwyljXaoNBQdD9BGMuZpz4EeoNH+6ByyowMoKf\nTknuxVRt/GBsKei7GBoMgDHFYPJSaNpZ2n/hIGyaA9vvSqu1zODxEAbXhbyFoNNYaNonpb0owi/t\nMe1YHuMxKXlYolpNwhkXYjbsR/3iDaJGi2BiiKjWorXIg+65SwBoXK4hjBtOYfeDyE0yn4M6NIL3\nJTqil98YvWJ2lDw8C0GWeWJ0+IWHvBm4lCofdiOqNbzts4CEp2+o4FyVkj3Ko2dpQFxQLC93ufFs\nnSsG+YyJD44hLiSe6hdmpkpWSYs472AeOs2lde0G3H1wC7U8ngDvcH7x6YmhRdZxueC3kayseZwN\nPo3Q1ZOjitewe6onN3b7Yt+kMHmrSq7jT3e88bn+gfp9bOi7sDi6etJ9FxmUyPiyN9EkCNiXNeX3\nW1nW/AIQ9DGB8RWe4PsxIFMB3u8Rf4Vxs9T4fpOxQuUF/hHjlm0pgCiK4aIobhZFsSESsfEM4BFS\njdunZE2eXPxDEASBtWuXsW3brxgaTkaqrd8IFEbKAdqGVNT9GSJwHwODwVSunMD+/duJi4tHo8no\nh2wNCWmIuEP2QZ5BmSd9FNklkRxfbwZBV1PkZEBK/X/xK9xuBXX3S4ZNHY/h+2VMmSDVZ/bv35++\nvXsilxtLK6+nO+DdNcjbBcosBE08eG2D2A8QeAXiPkLFHZBoAcvrQ8DLjOf15DDoCDDtaHrDBvD4\nPMj1IOQj3D8OdkVSDBvAgTUw7LesDRuAYxVo0AnaDIX2zqkN2+65yAM9MRzYKVUXQaFAv11jrM9t\nJf/HG9j43cJ8xUzE6BhktesgJkosdOLS37Gc1j9LwwagsDTDYlJv4r1DKfBTT9ThMYjqzHkWzZtV\nQa9IfsJO3EGur6T4oV9w2DmD125x7Ci9itV6s9hRfCmv1z3GRNeYyFchyJLAunG5LA0bgEEhawrP\n64JXgB9vPT+wa/0hSjuWZl9/F7Qabab91IkaDg29TvNR9l8M2+ym9/EJ1mOgx2jaHuxO9cm1qT65\nNu2P9aS/+yi8A/T5tZkbifEaIgIT+aXhfVRxAiUdS9JseNaSQp+Rp6AepWpacObMmRy1z8X3i5wS\nJwNSobUoistEUawGFEcycDnzL/yH8VfXugiCQK9evQgL86Zly1ro6FxFLrcERiNRbzZAKhnpgVLZ\nGDu7Ofz+e3euXj2Lvr4+efJYo6f3EbRp5im0hcjLkPSV6IMqEJSFM5+M3BBKnAHjTvBoLJwpCFdr\nwdWacNFRKt4WdCQdt6RYFDfb0bRueVq0SIndLVu8ABtdL2RG9lBuNaALz6eC30mIegVB1+BiWXDt\nAsVngFwJVQ5BgKdk4FY2hFMz4dTPsLopLKwENnbwy0VQZhCH1GjgwC8gauHaTri8UWIs+YyPb+Hj\nG6iXM2kaOg+Hs8nqzm7XwO0qTGmJcGot1pe2IDPKPtNPTEhEAORPXVGXdyRp9i+Ibo8x7dMq277a\n+ARkhvogwLNa43lYtD93jNvh2X0ekTeeZUjqnG9YK3yXSiVGgiBgUqs0xfbMoHrYMXTzmWNkl5d1\ny9fi996XAJ8ATE2scBif/VwA8neqzrNnz/D29qZ+/frcuemK4GvEplbnCXkXla69//Mw1jU6hYW1\njM4zpQLv7RNeolMwL633dibsVXoREmMbE1rv74IsnzXTat5jZNEblLGvjb9PIKKoJV+RnBeX5yms\nIDAwMPuGOcAPXeemln+Tzz+F/3eupyiKb5GK6mZ/u+nk4n+Brq4uZ84cw8vLizVrNnD27DXi4+Mw\nNS2Pk1Nl6tSpQ+HChalUqVKqlOeyZcuiSZoOoi2I+UBIfhsXLEDWAfyWgv0CaZtMD7TpqD5TQ6YL\n+Zwh73DJhamXAIWHgmk5SYhU1xzuDoWoNwhCPLt3+Kaaj6WlJffuXKNE6UpEey6DImOgyWtJFucz\nAs5DvA94/AQGhSBfSzAuCzWbS8raAS8hPhK878OQtVA/ufA5Ogxu/wEhPiCTQ8HScG4NKPRhyiPY\n0Bp8PKD0V8TInz5CoRKgyOHPpWgZSTmgV3EID4I8BaByE4Twt8htc5aJF3/iCoYDO2E6fxJJr70I\nG/wTWiN95MZZG8akj5/waTEKpZ01RffNwrR5NQS5nESfQHymbcKj/a/oFc6P3dRuWLSvhUxHOieD\nknaogyPTjSeKItoEFfERsTRv3hyQeFmD/QNwrGCfo3ORK3UwL2XHhw8fsLe3R09Pj4d33Rg9dhRL\nK+4mb1kzCtfJj1atwed+IL5PwmjiXIjeC0ohkwtEh6q4c8CPwW/GIshkxPhH83zHY5LiktC3MqBw\n86IoTfQQZDIarW7F5iJreHDHjbJlJXUJpZ4eiXE5VwhQxfOPES1/T9Co/6WlALn4dvi7a10cHBxY\nunQhS5dm3e7w4cPMmbOCN2+8EMVqIN4FzRagCMjGgawTMA8Ca4KuLdiMktL+w0+Dde+cTSb2HpRY\nAlZ1UraZlgWfc1DwAvqRI3FxcaFVq9SrAFNTU9RJSVBuBdgPSj9unsYQdEESML3fFcosBpMqcGMd\nzPGWDBdA1V6SwfK8LaXkP70IDk3BqixokuDWIgh9BQ3GgnEe6LIG1qWhFVMoJC23nEKtlhJVFpyS\nKLeskpn1B54j8fr9VKSyGUEbGU38sYvke3GWJPfXRK/bh/rjJwRV1hzlmvAoPjZxJs/glthMlgrn\nNbHx+M3YRMjui+SpVwzbUU5o1Wo+Ld6L19i15B/bAdvJXdGq1Cgs06t7R9/zRK6vg7WVFcbGKftl\ncjmiNucxbFGjRS5PeYtXKpVs2rCZkMgIHuNNmKktAZc9kIUnYmgmp7mzPTK59MJzfbcvRVoXJ/xN\nGOf6HiHggR/lm1mjbyTno28il4efomT30tT6pSGGeY0o2daRay7Xvhi32jXq8+jMMSo0yj4DUp2k\nxe18KAvH1MjxuWWFH7nO7UdHrnH7D0IURUaPnsSOHWeJjZ0HtCFFmDQJOAnan0B0BdkiEK6BT2sI\n2g35BkLEeVB9At1smCii7wDxkCeN5puoBv1KoFcWdWxx/P1TJPxEUeT+/fuMGzeeeK0pKIwlhW5F\nsltJ1MCbZeC1CozsIG91KZPSbxtEvpaMycHR0G2tFBcsWAlGXoDVzaBwSxj6Ggy+WgHW+w2C3eHc\nEIgeDL23QL5S4H4fbO2lNvYl4d0LiI4E4xwoXD9ygSLloGCJ1KfdcyZhg38m7539yPNYZthVTEoi\nrPdE9Ds1JWLaUhIu3UHsNRC2HYI+HYl/5IF+ZccM+4at3o9xTccUwxYdx+vG47AoZk7bZz9jWOCr\nTMH5EO7uh6vzPt48e4+ymB1GFYumGzNgzXGKjGrC69+Ok5iYiFIp0WUVcyxB2C1P8rWtku3lUEfH\nE+7xkWLFiqXaHhQUxMXzF2j1bjZKC0NKT23O/YHbiL3wlA9PI8njIP3NfT1jketbcLzdXvotLEbt\nI/VR6qcYylC/BE4s/cDempvodm0g1jXz4v7S/ct+52EjqVR1A73mFETPMGs32b2TITjYF6FcueyT\nT/7t0PyDLsVvgT8Vc8vF/w/fm9996dKV7NhxldjYO0j0oJ8Nm0vy/zsBd0C8ANrfQfTCQL8USu1L\nShluQ1dHBq/agSYL96QqEN4PgFI/g5DmNgu8DrrSW7UgJnx5YB45coTiZSpTp2lnXCOKQZGWELAd\nzheAx8Mg8jk86AqhZ6DqL9DpDtRZDnVXQ5cH0OEWmJYCt6OwqQP4SDIvHJ0Cjr2g5ZbUhu0zrMtA\n98vw0R1c1oDTRNi/LmW/ZR6o1QzO7MrZBT64Dtolx+weu6Rsb9IbrVN/Aqt2Jv74JUR16tWg6v5T\ngpsNIdH1OQl3n5EQnAh3niOb/BOy0mWh3xDC1hzK8JBiUhIRm46Sf2LXL9u8hy0iT7k81N09ILVh\nS4Z5GVuaXhqH1sefT6uPYVgldaF+wJazRN95QZHhjdAz0icqKiU+Nn7YKALXX83R5fDdcxOnhg3S\nFUffvHmT/HWKo7SQXK0yuYzqOwZh3boKp5am1FhFB6t4c9idXy9WpuGAAry5F5FqHEtbPQYuK0m7\nMbYcbbVbcqVqU5JVHBwcaN26NasGvEOjzjyJJcArnq1jvfnlp3k5Oq+c4Hv77f8ZaNTyb/L5p5Br\n3P5jSExMZM6c34mN3Y+kzp0ZLIADIM6liMMEfl/gRGCgDx7P7/Hh/QuEhJfgXgciLkiJGJ+hVUHI\nAXhRExz6gn0aZpDEEPA/Dub9QUxCG32VypUrM3ve7/QdPpm3Reah7usNTXZC1Z/AphYo9SHgINyq\nA+pP0PYCmKZfZWBZFlqckwyc51VYVhtmFYYP96F+Ng8sXUNoshquLoeybcDnA5z7AyJCITQIeo6B\nbfOkxJKscHwbBHyEuh0y3t93FtoaXQkbPJNPNrUJaTuckG7j+VS+A8GdJ6Eq1w5xx0O0730QF6xA\nMPgqEaLXAKLP3SXq6JV0wya4eaJjaYJBWanWL/FjIJEXHlB1RdcsKaXkejrUXN8TVEno5pWKm+Ne\nfuSt80r85u6l7rlJKIyUJMbEY2iYEu/r2rUriS/88T+YtVZxnHcwH+eeYNq4Sen2xcTEoGOWmtdT\nEASqremJ7zsVTy4EARDhF0eHKfY4VDDJ8lhtxtljYgofTryjeOHUhnrzhh0oo4swu4UnL+9EpEqq\nSYzXcGXnJ6bXceeXmfNTJTfl4sdFrlvyb8D35Hc/evQoolgWSREgLZzSfHfE2Lg68+YNo1u3bkRE\nRDBnznwWLl6JiAUkxcDrnlICiUFZyd2Y4AEmjlBpFdi0Tj2cqIFHzmDWExRWEHGQkiWK8ebNGxau\n2ERc29tgmOzq9L8N5zuBY3sYdA4si8CCgtBkv5QdaZt2rsmQ60DjvXCwNMx7A2s7QvGuIM8B8XH+\nqqC0gCfHwLEl/DoIZDLQVUqF3o6VYXA9mL4e6rWBr2JIREfAgdVweAMsuyIJmoLESpIW+kaIRSsj\nNu5Cgq5SEjptWAgq1UsZs2FHOHoQRo770k2wskY7Zgr+/WaR8OwNFs5dUOSV3JuayBgUVinMGyFb\nT+PQuzo6hhmJ2KeGWWkbTEvl503v3/loZ406NAr7wfWpfP9X9PKY4nfkPuWqVsTgK0Orp6fHhVNn\nadCsMYn+EdgNbYTCIOVYoigSctUdz4Gb+G36z9SpUyfdcc3NzYnw+MSrdS5o1RqM7C2xaV4GuZ4O\ndQ6NYEX71fRbVBw/zxgaD678pV8Zp4xdugCtRxZg88iX9NvbL9V2PT09zpy8yJq1q1nTfzmC8iO2\nJQzRJIl43AmhStWq/LFnDQ0aNMj2ev0ZfE+//T8LddKP7ZbMNW7/MVy5cpvo6NbZN0xGdHQbrl69\nTc2aNaldtwkhCVVJyHsW9JMfNqIIkfshdCMkPAYDB6iwAszSxCyiX8PTSRAbDwX3gMobg4iJzNu4\nickzZhNXfXmKYQt9Aec6QPfdUDxZaubBNshXW2IryQ6GNmDXBNyOgI4BFMyceT4VBAFMCsLhkdC4\nB2y6C0Uk9ylBvnBigxSLmzNYatu4MxibSSu1q8egRktYewfyZTFHtRrObYMVp6DEVxyOYUGwfwX4\nv5cMqrEFnD2VyrgBCOYW6NSqQrxfBO9KdkKvRlnklqaoXntDeEq2Y8LzdxTpWSZn5w3kb+JIfEgs\ncrlIkw/LkSslV7Uoiviuusrikekp1cqXL8/d67cYMWEMN+aOJn/XGigKWqCJjifimBtG6LJp6Wq6\ndE7NZCOKIjt27mD2ogWEx0QifxqCoCPn/ZFnuA7bS7GhdSk7owX1z4xjd8c1WBbQw8QqZ6oM5Zta\noU0SyZs3PYOMjo4O48dNYOyYcbi6uuLr64uuri7lV5THwSGtukYutJof2zz82LP/QfB3UfDkBLGx\nCWTOOelC+tWbAZGRMdRzasEnzWA0edMINgiCtBIz6wnBSyB4Bbg0A+OiYFVT2h96DyIegeVYsJsO\n0ScxCJ/AvDlTsbGxwcvHH2p/ZXDv/wINpqcYNgD/p5D/q7dqP5fMV28A+RvCu7sQ4Z8+5pcZPj0E\nn6uw+CRUqJd6X54CMGQutBoEI51ArYXz+2HYBChWGzSxYF4ovWF77JJ69XZqI+QvlGLYoiMQlo6G\nG6fQb98YZa0SIIrEX3cjweMp4qwp8NMchOS4JIaGiKKA6ebfMV48A5WLK9qoGPQ76BM94mfiX/ug\nX9wOUaNBUOQ86iDTkSFqRWLfBOLaZRVVdw1Hx9QAz2kHsUzQpWPHjhn2K1GiBFfOXOD9+/ccOXKE\nwJAgjAwMcVo3hvr16xMbG8uxY8cICQnB0NCQ2rVrs3T1SvadP47D2oEUcyqbym0a4/GRt9N3Edh8\nFQ1OjUSdJKI0Sl107+4SmunqTaErkF20RSaTUatWrRxfm/8F39Nv/7+GXOP2H4OdXR7k8g9oclj2\no1B4ERERREhs4fSGLS2sJ0HMdVC2BLkNhHgCWogTkesXR1/xAc3HYpQqWZx5GzfTvHlzduzYgVDA\nKSV1P8YPfK9Cn+2px9YkgW4GzCKZQaYDbielVVzgY3DIAdfAzWkwbnl6w/Y1bBxg8SkYVhMcSoKp\nGfQaCs07QId6YGgCvWemdlmCtMI9vRl2z4UtySKvUeEIw+th0KAc5l4XkJunZGKajO2L+lMQoSPm\nktivM+KuIwi6ulCtJkljh6INCUNmZYFe+6Zf+qgfPSdg5WEc1o5H18GG8Gd+FGxfMUeXK/y5P3Zd\nq1NsYktezDjI1aqzMLfPh3mEwKWzF9HVzXrlVLhwYSZPTrk/goODGTl2JHv27CV/FTsM7UxIilbx\nZtggdPJbUPX+YnTM0jOtGDkWpPzR6bj3XY5Lxw0Y5zMg1FcSKZXLs2dw8n8VS/4c6t3lIhvkZkvm\nIjt8T29uvXt3R6nciZTynxZOab4noaOzC4+Xb4k1GJ1B+wxgNQYifgXkYDoFjJ3REZ+w6LderF3Q\nlAeul3j0wOVLQXBSUhKi8JXR+ngRijdPL3ljbgcRX/F0Z7VqAwh5AsUHQp3N8HhT6qSXjBDqCcHP\noWn2KtcULQclKkOL3rD6d9i+Bsws4PA1cL8KvYrA3gXw9IYkfXN4FfQpAesmwbITUFBKiRfmD8aw\nSUUs181MZdg+Q5E/D3kOL0dpIoOFv0l9zC0QmrcmdsP+dO0Nxg4g/PQ9graewWpAK15vvoU2C9qt\nz4jzjyDw2itK/twevbymVNoymPwtyhP6+D32Tzy+AAAgAElEQVTRMVG07daBLVu2EBubXhsuI3z8\n+JHKNatwT3xGlyfOtLzYm/pb29LoQEd08xrhuGNMhobtMwS5nFIbRxJy9z0V+jhiZGvM43PBX/Zn\nFXO7tN6fgf2G5Giefwe+p9/+n4Za/m0+/xByjdt/DOXKlaNYMQcEYUe2bQVhK8WLFyEgwA+Mcsiy\nZtRIEiyNmAQh/dCL6U/Pnj2ZMGECffv2pXTp0qmaFyhQAEXkV3yQqigwzEAKpWJveHtASmLJDup4\neLUT4vxArg8KE3Bbl3Wf1yfBqX1KIkh2aDVQir9tvgFH/4C6JeCP7TBkLPQbDjcOwE/tYUZb2D4L\nArwhX344vVPq/8kbHl7D/PdxWWYzCnI5lqumw66taIOl7EFGTyJm1U4Szl9P1Vae1xrzi7vxnbsX\nv0UHUOS14OXKrNP1RVHk8Yxj2PWqhY6xlLkoCAJll/REKxcovrABJuNKsfjkWmwK2nLs2LEsx1Or\n1TRp1ZTCzmWpt7o1JgVTklw+XnmHzNgQ05pZ81ECKIz0ydejHsEvw6g8sip/zHmPKiFrQ+37Moa7\nhwMYPGhotuPn4t+PXOP2N+B7q3XZu3cDRkYzgSNp9rh89f9DGBn9wvLls1HoGuU8biXIQGYChU+A\n6IWZ3gs2bliRafPGjRsji/kAoclFt0pTiAlO39DMDgo3ALdkGjA/l/RtPuPpErCtCMXLwtW2oGsK\nN+fA/RWS6GlaJETAi11g/ScUzM2sICYS7IpKSgG/HwbvT7BxFWxcCgoR3c1r0Nm3A30/L/RePkfR\nuxtc2gcze8HxzRj2ao3MMAeae4Vs0a1eDprWQfT3QyhSDGHrfsK7jyVy5CzUr1NqwuQOBTCYOZrI\nG8+IexfA01kncF90IcMVnDoukXsj9hH+IoAyC7oR7JKyMpbpKnAY1hC/K2+wb1sGp5P9aXRxMANH\nDubI0bT3TQpOnTpFkqmWihPTZ0cGuflj3rhCjtWurVtVIeh1JOV6l8bA3pqFnZ4SF5WEu0tourYf\nnkUxq8F9OnfslmEyyT+F7+23/6egFr7N5x9CbsztP4jSpUtz/fp5mjVrT0LCWqKjnYFqQABwEGPj\n9ejpvefixQsUK1aMpMRIiU9SlgPyWW0caCIkuq4iZ4h4WwRfX18MDAzYuXM3r996o6OQU6VyWXr0\n6IGRkRGjnYex5I+ZxDc5CnZN4dZ4SIgEvTSuug5rYW0tia0kbwb0SFoNPFsOr7bA2DtgagsNp8Dh\nUaCKhCfb4c48qDxSKtzWquHjVXh5CIytIPRTzi9iZKgUX/sMxyrS9yF10V2zHHlriU5Mc/MWAIK1\nNToTx6Po3ZPEpi3gqQt6Sybk+HD6TlVRJQiIPdsjrtwIu7aCCPFnrhG3/TAyS3NkpkZoPwWhW644\neRaOI3r9ISwDo3gx/xyeKy5TbGg9LCraIWq0BN58w/tdruRpUoa6V6ajMErPpWhVtwTvFh7/8t26\nsh0NTw9gYJNBNG3SNBUd12csX7+CEiMrZXgO2iQNgk7OHzmCroK40HhkMoEOe9pyYewlhjvcoLST\nVJ+pZ6Qg1Ceey9s/4Xk7HIVClxEjRuZ4/Fz8u5Gtntu/Bf9WPbf/BSqVimPHjrFkySbev5eKk4sW\nLc7EiUNp3779lySCBo3a4PKqA1gMzH7QsO0QfQSKnAZAJ2gyBZTn8P/kB1ZdSJSXA9QYJt1AG+HC\n0CFDmDN7Jg2atuZFrAMJddbD5X5QtCrUzyCBJcof9vWEUC8oNSTFyAU9BM+NYGoDfQ9IMbrPUCfB\nmnqQGA9xYZAULWVxynWk2jxRA7aOEPIOTvhmLImTFs51odNgaP1VPdXMHiiqFUdnwrjM+wFaH19U\ndepguW4Whj1yxqwfOX8j0SEiorsH2tu3UQwbhHL8KARLC7RRUSRt2Yl6/SZMujbGtFdLgpznIouL\nI/+YtkReeYL6vQ8KQ10SQ6IxLp4fk9K22A9ugKF95lIwQVdf8GbOYdpeS20wbnTew5jGA3Ee7pyu\nj7G5Cb3ejkXfMj3B84sdj3h+8iPljuZAqR34sOwEXnMOMDXA+YtwaqRPFI82PsbnuvcX4uRSXR3R\nt9Djxby3PHvwLMcrw38T/go9N158o+dl6W87t5wi17jlIlucO3eOrr2nEpP/vqQKkBm0ifCuGtjM\nB9Pkh3acG3i1lcRNFWkYJhJ9MPAfRs2yCo4c2k3fgcO5ePkK6oKtUb89Ad12QqlMavLeXEJ2oDda\nQQ7WJSUlgJqDoWDV1O2CXsGO9qDUg+ajoFgNybC9uQunV0HgayhVB0o3gRvbYNBP0LxPxsf8jPcv\nYEh1GDUPeoyVtoUGQueS6D1/jGCWPf9kQrUaGDapiuXqmdm2BQhsPxpN4zYIRYuSNGYMBo/vpnuI\ni8EhxNVvihAeht30bhSY3AVBLkebqMK94RR0ZBpkunLqXZmRo2O+WX6W+GfvaLC9R6rtPhdeEjD7\nEW63H6Tro2egx6Cg6egapS8eT4xKYGuhxdR4sQY9m/RJIUmRsUQ9eoc2XoWOlTHufZdjkNcEu1L6\ntN3QNFOjFRMYy8ZKO9m6YitdunTJsM2/HX+JcXv6jZ6X5f8Z45Ybc/sb8KP43TObZ7NmzXCqXRL9\noO6gjc+4szYefLqDsjiYfEVfJLcAZOkNG4DSjrhCJ7j7XMXiJSs4cWQ/7m53GdHYkuJF7JEd6IFw\noCf4PkzpExOEzGUBykM9sDAzgO5bYdRV6LYxvWELfQ8bGkC7SbDQDRoOArvSUMARGgyCpU9h6CZ4\ndQfZ8dnoxwQgXz4K3O9mfpECfWB8U+QGhrD+Zzi4RtKDc72IrH79dIbts1syLRSjRxG78zja+ITM\nj5UMtW8AiTceIO/QHlnNGhAbh/jBO107wdoKvQO7kBkbYDuxM0JyOYJMqYvD6pFEePgT5vqO6Ff+\n6foCqWJuoijiteEKJQdWS9fOtKg1gZ8CMhzD2iYPEW/Tx8QAlCZ6FO9Rnve/7k9FfxX72g+PYWu5\naT8Er1/34rf2FC/6LkcVGIlVk7J4P47gYPdThLwOA8DLRRLQ1Wq0vD77jk019qAj6n6Xhu1H+e3/\nG5Fr3HKRLWQyGYcP7aZFPSOUH0pA0O+Q5Cut1JL8IHgxvCkNMn2w35M6+UQdCHKzTMdGpkNcvhWs\nXrOexMREihQpwsrli3nl/ohAXy/mdauA9bEu6M4xQ2+BNcplReme9x2rFs+X3uStk5nmAzzg+HjY\n1BI2tYAjo2B/H2g9QTJqmbmq6vWBXgsp6ViG9688MTEwgAktYcU4+Pg6pV1YIOyYBwMqo5sQg5W5\nCfw6Dy7thnaF4eIBBMusuDrTnLajIxgYEvHLmizbiVotYRMWIe/RHcHYWDpnc3PEqOgM28vLlUEo\nZE/YydQGWmlrhagFg27NeTp+L6I269KID1uuoaOvIF+d9MK0mkQ1usqMs0oH9BmA5ya3TMetu6Ap\nca7uvJmyHW2SmrDr7jyoMw0jWxMav1xCvRu/UOvsVBp7LqX2xelEPPqAFjkqm4JsqXuAbQ0Pcmf5\nQ44NvsCKYls4P+sB+fo0wM4+l2Hkm0P9jT7/EHLdkrn4U7h58yYNGrVBo5WDNlrKjDRpBdYjwTD9\nWz4+I0CmhSIbshzX+EMjtq4cnuHbt1arJTIyEpVKhbm5+ZdYYIGijvg12wBXFoDfE6g0COxqAgL4\nPwTXVWBXCsbuB8sCmR9cnQTD8kJsBJjmgVoDpHKC+/uTY3MKiI+GKl3BaQR4P4TdwxG8QxF0dBCf\nPkacOwuZoRLlH/tydB01ly6hWrwMITwMo6bVMFswPp1CtyY0nNDR80n0DkH36BEEfX1EUSShkAOC\nfSF0Rw5D0akdQhphTdWKtVgEPqPoyuGptj+uMRajyUOIXrMXcxs9Kq/vh45J6iQhUaPFa/NVPH87\nShuXkZiVSJ95eH/qKczctMz5ZTalS5fG3DzFqPv7+1OiTEk63RuKebEMSjqA+NBYzvQ4SMB9P0Ck\n+pHxWDfKmCpMFEWej91JlLsPNc5OJej8UxJ8w5DpKjCtaI951SK4993IkHItmTIpG5KBfzH+Erek\n6zd6Xtb4Z9ySudmSufhTqFu3LkOHDGDLMS1J+VZm3TgpCMJ2SVmW0TfBehDYjMuwrCBWUZ1Xr16l\n2x4XF8eHDx9ISkrC1tY2FVNG5Qrl8NvTA8r3g64nQPHVaqJ4S6g7A+4sgVl1YM5tsLDNeJ4KHWgy\nHJKSoHoXuLxBYjfptwUKV4e4CHh5GXyfw9VVYJRXYhxJVuYWyleE1ZvQ1q+CGBmFYJo1ez2A+tBR\n5C1bI+vRi5hmDYjZdQLD3m3RrVgStCIJt58Qf/IK8o4d0D26EUFfqkHT3riJkC8f8jFjUO3dh2rB\nEvSPHUBWrMiXsQVDA7TxqnTHtBnRGt/Ve8l7Zj1ho+dx1n4iBbpXJ2+DUgg6cqLcffHe6oJ+HkPa\nXB+FWfEUpg+tRsubXQ9wX3ebKK9wrBwd6DbFmYiXH2nXvh3TJ0ymbNmy2NjYsGThYmY2nUXLs72w\nKJWeLUSuVGCg1MXawgKTXlUzNWyQXHO3oi9Xy0wh3PUtNu1Tu55jPwTjf/IRg5Yfzvaa5+K/hVy3\n5N+AH8XvntN5zvp5Kqaa4whhGzNvpA6Fd81AUILCSFoB+c0Gt4IQuA20qRlS0r7YvX79mqHOo7HK\nV4AajTtRr3VvCtgXpVGLdly6dAkXFxciI6OhZAdoPD+1YfsMuQLqToNyA2FDNqwV+YpBVDAUqQbD\ntsGUc7B9IOweBr/Xhvcu4FgRKtQBPQ3oGSO2bY7oI8V/hHz5oX5D1DtTa75lFHMT/f3RnjuHrGdv\nBEtL5MvXIFpZk2BSgKjrL4m68wZViUooH7uhs3z5F8MmiiLqxUsQ/f1QjxkLAQEIVaoQ16I9Wr+v\nBF99fdG1Tm9grbs7oRCTCJu8BKvNs7F1P0FU/hJ4HHDn+YrreP5+mhoLW9Hx3vhUhk2jUnOpy06e\nbnpIwd/64RS4k7I35lDmzjyqvV6DWwmBWg3rc/yEVDYwbMgwfp81n6O1tnCx80G8zngS/PQTfrc+\ncHvCeXbbL6OKZTmiwiOwd26Ubp5pIchkOIxogte6i0BKbDDeNxS3FkuY89tvWFqmTlDRaDRERESQ\nlJS1evlfjR/lt58hNN/o8w8hd+WWiz+NfPnycefWZeo3aEHUp7PEGo4E48bSiiwpGMK2QuASUNqB\n42UwSuY3FDUQcQ5850HoPihxHOQSDZOh5gFFi0qlBidOnKBnv8GoSg9H3eMpmCSn9atiueq5j3u9\nnalbxRFX1zswam/2E649BZbbQcBbyJeBDhyAKh50vsrwc6gEhcpDQiisegZWadyavefCyeWIrRvD\nyQsIhRwQJs5A3akFslIlkDdpkuFhxNBQEjt1RT5qDIKFBQBCnboIjmXQer5Cd/NGiUMybT9RRD3r\nF4ToCCz8n4C+Huqrt4lfuwNRrSZx2iz0d29BTEpCs/8PrM/NTjeGTFeH0id+5UWH2fhW6ITZ1EGY\nTh6ITE+JNjaOgK4TuDH0IOo4FUW6VUShL83j5ojDxKkUVHFZgKCrIPymBz6bLxH3TkoqMSppS8FF\nvekzeCBX8ttQrVo1Bg0YRJdOXdi9Zzd7luzlRUgIBgYGNHFqzB8PtuPj48ON10/Qt7HI7q8HQL52\nVXg175jklvUP49X0P/Ddep0Zk6cyYez4L9foxo0brFi3kjMnzqDQVaCKT6RyzSqMHzGOjh07ZsuR\nmYuv8A/Gy74FcmNuufh/IzY2ln379rNwyVrevXGXVmmIIOhDvlFQ8NeMO4oaeDdIMoQlT0PCW4ze\n1yY48CNubm40btme+DZnIV+VjPvHh6HYWx7RoQGa9jlUx74wCfLoQfe5Ge9f2BqqdASn5Fq+s8vg\n8QmYfTG10UuLM6vh9jaEyzeluMcDV8SBPZG3bIFiyCBkZSWXmxgegXrfftSr1oCOLjqPn6ZKbRfj\n41EPGwxe71E4D0PeuROCgQGiWo327DnUGzciJMZjcnI7sjypY1nxa7cTN30BBnevobl1B8Xe7VS8\ntSTTKcc8e88bp6loFHISwiKRGSgRE1RYtKyKed1SRFx+TPTDN+RvUAytSo3flTfU/7QDVWAEjzsv\nRp2owWR4V/QqO0rHv/uUqA0HkcmhSsFi3Lx0Lfs/x4ULDF86gwoXcxYnU4XFcD6/M6Jai4mFKX36\n9GX08BEULy6JkiYlJdFvcD+u3HWh9JiqlOxTEaWpHpokDe9PvuTlqocYxelx8fSF74rB5FvhL4m5\nXf9Gz8v6uXVufylyjZv0ZvtXFLi6ublRp2F74qs8Bq9lEBsGhddn3UmbBE+Kg2FllEIwowbUZsrk\ncbRo1xU384FQum/G/ZLi4c1RcJ0H1YZCzawLpr/g8Q4IvgqjMzCGQV4woyqs+ghKA4npZEJRmHoI\nimViYD9DFGFUCYS1axGqSzIqYlAg4oyJcP2qJHSqowtRkVCrDbQcBgt6oti+FVnN1LIrolaLeO0q\nmm2bEa9dA11diI9HXrUi+qP6o9uxRYarOoDowRNRe7xD9HxFhRuLMSyXPssRQJuk5l3LWdS3Lsot\nf09KXP4NTUw8CmP9L6UDoigSsNcF300XiH3tjyCTYVjChtgX3lj8OhJT5/Tq3qJWS/iSnYTN3ojr\ntetUrVo1o8N/gZubG816tKe258Ic3ZMRj714220zXh6vUSjSO5z6DOzL/QA3mhzuio5Bxivf+z9f\nIfJMAPduumJklDlx84+Iv8S4XflGz8tGuXVu/1r8U353rVbL+fPnadiwLUqlEXK5HCMjS/r2HcbT\np0/Ttf//zvPmzZtordqAwhh8t0G+Mdl3kulA/vGgfktitDvLVq6lQKFiuLk9gRLd0rfXqODGDNhU\nEJ5ugkivjHkiM4NWLcXg0iIhFlb3gubjJMMG4H4FTKyyN2wgxRKbDEOYMAbx1nXEt6/B9yN88odW\nI2D0Blh2Gw4FwvR9UL4+jNuEekB/tE8epx5KJkPWqDE6e/9ANm8+IKIcNwSzW8dQdm+XqWEDMJg8\nAu0zd0QDQwJ3XEIdHZeuTaJPEF5tf6OiUX68P/lhMaIZMoUcHTMjBLmccJdnJHwM4l6VCbz9/Tiy\nbh2xvLgTy0u7iAtXYTZpAGYjumVojASZDIspAzAb05MhY0Zle9kqVKiAATqE3XmdbVuAT9tu0qd7\nTxQKRbr79MGDB5y/ep4mhzI2bCA9/KvNaYTooGDzls05Oua3wA8dc/vBSwG+W+MmCMIFQRCy5HsS\nBKGgIAgXBUGIEQThhSAIzf+u+X3vCA8Pp0aNRnTpMp1r19qhUvkgiknExj5h3z47atVqxbBhY9Hk\nVNgtC8THx6MWjCDaHRRWYFAqZx0tu0H8R2gdgFh8KklaPXBoBYo0bkCNCo61kyRpurtKatm21eDD\n9YzHzQgfrkLBrxQJtFp4dgl+qwe2paHdV6wdgW+haA4M22cUr45+dDTC4N6I3ToiThgPSTogEyRF\n7byFQO+rlPsarWDUetQdOpA0dCjae66IkRGIoaFoTx5H3b412jm/IRgaote/a46mIC9RBFlRB2S9\n+hJ94CbPCvXjo/Ma/NeexG/lMbw6zMGj/Eh6VKjHqUNHeen+AnOnsqnGUIVG86D+DBQ9O2L9/BxG\nI/ugW64kyAS0AcGYj+ud7Twspg/ipYcHvr6+WbaTyWSMdR6F9/zT2dbcxfmE4rv3Ns5DhmW4f8W6\nlZQaUQUdw6zjaYIgUHZiDVauW4U2m2Pm4sfHd2fcBAmrgZxorJwEgoAqwC7giCAIhbLu8vfj79Z0\nSkhIwMmpFU+fliEm5hEwCDAH5IAdGs1M4uLc2bPnMSNGpJD3/n/naW1tjZ7GGzQxoMiiYDstFGag\njpFWcaVmQNGREPAwfbsb00CuhLbHQNcYvE5D573gexfCP2R/nNhg8DgOp5fBorZSfG18CdgzCZqM\ngsGbQPa//RTi4uMxLFgCDnrB1sfQdRy8uAMVnDLuUKcD7HiDaFUF9dDhJJUqRlL1SojbN2Dg3AO9\nUQMQY2KQWWeuXZYWsvx50T1/llXzF/LqmTvDCtWgvnsiTd4KzGrZm4CPvixdsAiFQoE6KQlBkVpr\nK/DwHZQ922M8cXCq1VncrmOY9G+LkAOxWJmxIcbdmrNn755s244Y7kyeKAUeI3YiajI2NnE+obg1\nW8TPM37Czk5KLEp7n546cYoSvStkezyA/LUKEaeOx9PTM0ft/1f82Hpu3+jzD+G7ypYUBMEG2AM4\nABHZtG0IFANqiaIYB3gKgtAY6Uk+66+e6/eMrVu38fatKSrVSjJ/fzEjLu4ku3eXZuTIQZQrV+7/\nfbx27doxcsxEyDMSVJ+kOFROYnuqT6DzFatHianwdoUkHGqZrPmVGAnu26HvC5ApwOcqFHKSas0s\nS8GRXtD/WsalACDFz44PgGoDJMHS4HcQ9ALaT4OmozKeZ/4ScH1Lzs/j1T0EuQ4qm68yMeu0hWWj\n4YMH2Dtm3M/UErpOgkKOyA9OxezR+S+7dPwDSFi5BTEkDKxyllEo+geSXy3SvXt39PT0mDFturRd\nFLl9+za/L1pIRHQ01ubmWOaxJsbdG/N6UsJLYkA4YefdyOu1LN24Gr9ADBpWztEcAGSlC7Nn90E+\n+vtRvHARevfqjZVV+oJuPT09Lp8+T7tunbjtOA0b5wbkbVcZhaGSeJ9Q/LfdxG//HX6e8RNTJmac\neCKKIjER0RjkSU/UnBEEQcAwjzEREVk+XnIBP3y25Pe2cqsEfAQqA1HZtK0OPE42bJ9xC6j5F83t\n/42/0+8uiiKLF68jLm4K2f95zVCphrF8uZT88f+dp5WVFa1bt0UWek4qB4hxzVnH4F1g2ynlu1wJ\n9oPgyVdsJh77oGBjMErWWkuMAn0L2FYP9I1B3xz2NIdA9/Tjh7yGfW3A9x60WwY+D8D/sZT2f3Q2\neLjAjR1weT3c/QPiIqV+jg0ktpLX97M/B60Wzm9Aa1MWTcJXt6KOLnQeDfN7gSox8/6iiM69U4iv\n36MNCfuyWWaTD3nxIiTsyVw77Wto3rxH9PLmxqVL6H3FWHLu3DmKVShPq4H9WKUNZ1cBQ5bF+BMU\nFYV7r2VE3pMK54MO3UKnenlkZunr4wQdBaIq5/VioiqJT8YqrttHscbtJIWKFqbXwL5ERkama2tq\nasq1c5c4sf0AxR4k8KTeAm47TuN9r210ta7Kq+ceTJ00JdVK8uv7VBAE9I0MSAjPhPM0AySEx2Uo\n1/NX4IeOuf3g+K6MmyiKp0VR7C+KYlj2rckPpGWADQSy4Fn69+PVq1eEhEQDTjlqr9H05/Dh/53d\nYeWyBVhE7wXTcuC/SFr1ZAV1JARvhKJpZFPMK4Pv7ZTvoS/Atl7Kd6Up+LpK5QS9T0KfE1CkMexu\nKhm8i1Ph0jTY2QQ2VYMgD4l/0us2hLyHOtMgf2VQq2FJa7h7GDzvwrXtMNYeNg2EM0skuq2NIyWZ\nnKxwYjkYWoJDVcQnNyQqr8/oPRWMTeGnVuD7Jn3fiGB0VzlT8O0d2rVvR9K2/al2G25dSuKmPYgx\nsVnPAUhavoXRzs4UKJBy++/eu4cugwYQtmAcBp4XMZo7EaOJgzFcNA1z3zvoL5jG45a/EXblCYn+\nochs82U4tk6l0sRdvpftHD4j4dJtCg1qQJHxrXHc6Uzddyu4rxNITae6Ga6YBEGgVq1aHN77B0E+\nn/D1+sj8n3/DxNCYI0eOcO/ePbLKdG7SoilvDmbwcpMBgh77Q4KIo2Mmq+lcpOAHd0v+rcZNEASl\nIAhFMvn82dxcAyDtK3EikEVR0j+Dv9PvHhYWhkKRH8hp5q0NsbFhiKL4P83T1taWe3euUUD5HCHm\nJnhPztzAqaPgdTuw7QimqZMaEDVSJuSrIynfZV/FhmzrSvu77pGyH2VyaDADJntD7fFgaA76JlBt\nCEz5KK304iJgaxuwrQovj4C/K3SaByuCYOxpGLwLJpyHuS9BaSat6tpNktQDfm0Gn96lP4eEWNj/\nmySbM/IQOpo4rC0t4PqxlDZyOay6AhXrwdjaMLEh7J0P+xfCLx0RetlTM8Gb+zeuMWfGT4jLNpN0\n99GX7jrlSqHbvjlRHQchxmVuZFVb9mF43oXpX3Erenh44Dx+PPqXd6HXsgFCmpiioFBg0Ls9psc2\n8azrIrRqLXKb9FRZAAa92xN32RX1pwwU0tPO5Y03iU9ekb9zipisrqUxJTcMQl3Hjr5DM88RCw8P\nZ8ioEeQrVJCJf2xlScBz5r+6Q7NeXSlZuSJHjkj3RNr7dPyIsbxc8xBNUvbJUe4r7zFy2Ajkcnm2\nbb8FfuiYW9I3+vxD+LtjblWAm0BGT70BSEkhOUUCkNaHogTS50Ano3///tjb2wNgZmZGhQoVvtx8\nn90HP/p3c3NztNoowCX5rJ2S/83sezl0dQ24fv36Nzm+19sX7N27l2HO40kMOwJ2c8CiE0S7giYc\nEl5D4HqwqAgF2vMFQcnzCb4BNj3gwnB4tFKKvQU/AZ/k/XFBkL+SJFoa5Q+Fk8/H+7bkoqw2HEJe\ngc99eHUWqgwC30fQZBHEh8PFCTDxEiQlgNcDKJnc3zN5/G7LIE8x+GMijN0DPu4wsYrEUOJYF+wc\nwdcTru4Cu3Iw865kUG9up7fzUNatn0RcmZrgl2wQKzlBlUbwxwoI+ACebmBiAUoTxCYDcXvrSuVa\ndZn78wx+njiJOe0Hop3iDMULIzM2wnDtfGIGTSTcsT7KLm0w+HUigqEBqmt30Dx/ie6dRxg+fMai\nOXN5+fLllwLlidOnQSsndBwl1YREF8lVrHSqke67brP6BG69iNbcDJPZ4xAEgQQXaaWm51Qdmakx\nus3q4tduLAVv7UTQ1SHORdJyM3CS6tniXB6gTUgkYu5GCo9rSbirtFK1cpIyVEOve2DesjxXe6/D\n29sbLy+vVPfPsWPHGDF+LJrm1bF5fsS9j9gAACAASURBVADVG4nWzNCpCqJWS+iSXfQZOZxX798x\nY/KUVPdfvXr1KGBmw+lWu2lztg8yhRwfl/cA2DlJ9X4+Lu95f8yD8FsBjFg24rv5vf5/v69YsYIn\nT558eZ7lIj2+2yJuQRC8gDmiKG7LZP90oIUoivW+2vYrUFsUxXTcR/9kEbeLi8vf9ganUqnIk6cQ\nkZFXgJy4XjaSJ88SihYthkoVS9++XejXry8mJtmT/2YFtVrN6dOnWbBwNfddXaRYnEwPbLtA0RFg\nkUGqvSoCzjmA00tQGILvHviwUioXGBoAShNwnQO68VC0aYphAwh4BrdXgMcxsCgqqWyHvQVjWxDk\nMOwBnB0FeSyhQ3pqqnRYUAdU0RAXLsX4KneQ/q9WgUUBqNkLrKTEXNm5xdQOucaNS2dZumIlsxYv\nI27UCqjdBk5ugi2/wITdUCXjShXZ2fWYH53P43t3CA8PZ/TkSdy5eRNlITtkZqYICQmIvgFY5cuL\nr5cXSnMz1LFxWFpbM8l5BAMGDMDUNEVHLi4uDusCthi5n0Nukz0bR9Kj56haDyU+NgazSztQVk+f\neSiq1YR1HwehYVgvmfCFnQSkOG/C3aeETFiERUlrKm4bnm6l+Bmvxu6ks1lF5v02J1X/ak718K1b\nEvO5IzKfp38wQbUHMW3oCKZPn55qX2xsLG06teV9pDdlJlancDtH5DpyRFHk0x1vXqx+SPSjEK6e\nv0KRIkUyOcK3x9/12/9Lirj3fqPnZa+M5yYIgi6wBuiMtFhZLori4mzmZQG8AKaKopjlYuhHNm4N\ngBNAXlEU45O3XQbuiqL4cwbt/xPGDWD69FksWxaMSpUNSwgaoCTIW4C8KWjuY2jwCo36IhMnjGfO\nnJ+/CaPJjJm/smLHdeKrXwBZJlmNohYe9AdRDhW2p2z33oJ5wFxiC3VAVWsJHG8tcT4Wa55i3J4f\nglMjoeYESfbG0FrarlaB53G4MlOSwnl9CmY/k4xTdnA7hrB9IHoKgfjuK6F2BurcoohwfQtmZ3/l\n0d1bODhImmKnT59mxtwFvP3gTXxsHIzZDLU7pe//FWT7fsXR8wzR8TFEaNUo6lRGI4DGzQOZXyDj\nR45ixtRpJCYmEhoair6+PtbW1hn+fV69ekX1Ni0xeH05+/NEMi7BypKMHDWS7edPY3RzH/IMtOlE\njYboJVuI+X0jCrt86FUtg6hWo3rwHJlaRZGxzbEf0SzLe8Zv/y1sT/hy8kBKooyrqyvNe3cj/+uj\nmRrFz4g6fBnDObt49fR5un1qtZpDhw6xfP1KPJ6/wDiPCQlR8ZgamzJ2xBgGDhiY6iXg78APbdx2\nfqPnZb9MjdsqoD7QD7BDypQfIoriwSzmtQvoBQz4Vxk3QRCsgHhRFGMFQZABT4GXwK9AG2AmUFoU\nxY8ZjPefod8KDAzE0bEKYWELgMwKb7XASBBeg/JSahka0Q8DRWe6d63Eli1r/mcDp9FoaNuhOy6P\nw4hzXAMmaYq8Y73h+RSI84fqF0CRXPAcehOD5x05cXQ/g4aNxidChpgkgpUNDE5+cH+4Cfs6Q9+L\nkK98xhNIjIHt9UEbA/PTy+pk3CcORpnQuEVLPNw9iNazJLquMzhUkWKJ7+5hfHMdFrJELp0+TrFi\nxdINsWXLFkb9tojEDa+yLikQRdjgjMLzPGab56GsXy3VNVc98UA1dQnl5QZcOHYCpTLrsPLLly+p\n2b4NBq8u5excgWC9UkSFh9OtT2/OPnDFbPUs9Fo5paLkUt16SOSMpcjyWmI8qBNJHu+ImL4Muz51\nKb95WLaGCcDvwG3yH/Xm9MGU2GTXfn24Wc4a84kZvECkgZiUhK99W1wvXqF06dKZtgsMDCQsLAxD\nQ0MKFCiA7H+sY/ze8aMZN0EQDIAQoJUoiteSt/0ENPvaG5emTwtgGVLR7pTsjNv3/BfP6Mo+ACYC\niKKoBdoB1sBDpKd4+4wM238NefPm5fr1c1hYTEepHI60iv8MEbgCNAPhOSiPpNdXE2yJU1/gj4PX\nOXbsGP8r5HI5J48dYNKgBpg8aIDx/YYIL2bCi5/hekO4VBbkllDjojQXr/XI7zVC+bgVa1YuonHj\nxjRq2AAUeaGhK3x6BiHJ2YeXf4Hmy/6vvTOPs7H64/j7OzNmZcbYd7JlVyJRsiQSUZK1MJZsoSxt\nJIlKlC1EqSzZSvZlKhlLP4kaZJd9nRhmDLPPnN8fzx2umbsN987M5bxfr/viee73OefznLn3+d6z\nfb/WHRuAT254alzmRHt5g1JsueFH0eLFmPvx2zQ+t5wS33WgxNyONLu8nh+++JjjB/+x6NgANm//\nk8Rn+trfK7d2Ol6nf6fQruX4Nqqb4ceE90NVCFg7m72+0O8N+7E0ixcvTkLEJVIjrzp0q0kH/yV3\ncF78/PxI9fTAr1VDYj6awcWyTYjsOJjILkOIqN6Sq73eJaBDCwot+Rz/Fk8SNDQE75qVSL54zSHH\nBnDjr5NUKf/gbef+2h2OXxPbsSjTkFy5yNOglsXwceYULlyYypUrU6pUqXvesbkM166WrAl4A2ZL\no9kG1BELv6ZNCw5nAr1xcJlKjtrEbY5SKkPkV6XUA+mOjwONs0zUHZLVw5IA1apV48CBXUydOoMZ\nM54mJSUID49AYmNPk5wMynMUeIWAmGVxTgkDT5NOCeRGwig+/vgL2rZte9d6PD09+WD0SEa8+yYr\nV67k4MGDpKSk4uHRkL37i7Fm9XxSIxaRnJwAeSvjkb8KXvla0H/wW0yfPZd/9oSjnjoKuQLhgVdh\naVdoOxsuHYAqGbN3Z6BQVbgWYQxVWtvwbU7EEQguSuJbizgwviM/h23ht3UrM3XPZy5GoPKVsm2U\nkoIsH0++tV/gEWR975V4eeE3ZxyLyz7FJ6M/oFAhyysbAQIDA2nV+jl++W4Z/kN72dWZMnMhfXr1\nIiwsjIjLl/Dv9Qr5p48icc8hkg4cQ6Wk4NWvAz6P18rgeP2erM2Vr5YSd+4KfsVtbzZPiUvk3Heb\n6fPHZ7edT05OxjOX44+ihMir2Z6nzVGy47vvNFy7jL8ocEUpZZ5VNwLD4RUy/d+cCcA6pdQ2R0eS\ncqxz09w9hQsXZty4Dxg9eiQHDx7kxo0btG8fwtmI2eBlsed/O57Ps3//II4fP07ZspajzGcWb29v\nXnrpdmcUGRnJY//s47SqCjXeh6CKt1YRpyTw15ZekC8/+Joe6JVHQdjPsOQVqNDSMWcVVBKCy0L4\nCqjjQLzGzbPh6W7g4UFcr8+ZO6AGE8Z9mKlo8n6+vsaqTFvsWodniUJ417I+xJaGR3AQ/m2b8dU3\ncxjx9js2bd8cOJj1z7cmpf2zeJYsZtUuae9BEheuYkD4bo4dO0ae3HlIvWbsq/OuWQnvmpVs1uOZ\nkETtRx7h36HfU23hAJs9uOMf/sRjjz2WYUFHyZIlOXngOL7VrOTaS0fy6Ys3Q3Fp3BZrW7kg3XYu\nEWkItMSxFXI30f31LCC7f7nlypWLGjVqUK9ePS5fvgCeVkJtpfXa0hBvvH0rcerUKZdpU0rRsk17\nTvs1JfGJBRBUMZ0mH2OxSTGzbQMe3tBoG6TmgVx+jlf24Auw/D1jPs0Wl47DH/Ohcl1Y/DGsmUlK\nvmJMmzbN8bqAp5+oh/+l47aN/t2FX/PHbNuYoZ6uz+9//2XXrk6dOowaOozYxi+TtPtAxnKUImHT\nduKah/D19OmULFmSRo0a0brJU6gfHZurU8nJJK7YyGefTKDAuSQOdPuSxCvXM9glxyZw9O1FxC3b\nw8JvMk6TvNa9J4mzVjhUZ9yuA/glptKwYUOH7LOb7P7u3xV3Ogx5IAxWjr71skw8Gfckpx3f/IKK\niC/wFTBQKZXxw2UD7dzuMzw8PMlc7vdki/mznMWOHTvYd+Q0ibU+tT43lZqYcZWlh7cRquta+tEL\nG+QrB0nJMLW1sbHbEhcPw8ePQ1A+mDUYkiIhry+JD9XnvY8/5cnmz7J//37L16YjpHs3UneugysX\nrRulJCG+jmeHFu9cJCQm2jcE3hwylMkj3iPl2V7EN+rMjZkLiFu8mhuTvyG+9vPk6jmCxV/NoWOH\njgAcP36cTf/7nSsrfiH5/H92y49dsZFyZR6gbt26bA7dSC1VhLDSr7H3lemcnvMbZ74L4/DguWwp\n+RplDiexc9t2ChYsmKGctm3bknLwJNd/sR22TSUnEzNyJoP7Zd0m7PuaO3VuZRtB89G3XpY5BwSL\niPnDpQhG7808QtWjQDlgvojEiEgMUAz4UkRm2JKvnVsWkJPiy1WoUBVSt1p+MyXs9mN1jfi4/Tez\nHbuCz6bMJLZcv9sXtVw7Djvegh+qwcJScHEbxKSL4n7sSzizCP5dC7GRjlW2ey40fB+Cq8OwkjC/\nLxzaBKf+ht2rYWY7+PARkBQYMhFW/gtvTITe78HI2aRsOM+2h1vyWMPG/Pmn/biTwcHBtHr2Wfw/\n62Q9jFe+EiTus9O7MyP10HHKlnB8SK5nSA8unjzFl/3foOWu49RbvpXnD0awcOx4zv97jFatWgGw\nd+9eatR+hD+qFST49c5cajuQ1OgYq+Um7jtC3Gvj+HzMWE6cOEGXXiGsXbuOvE0f5crpa/w7KZSD\nQ+cTu+4Ac2fPYf3y1RYdGxhD1csXL+FK55FcX7fN8n3fiCPy5VFUTvWlTi3HgzhnNznpu5/D2A0k\nAuYZexsAf5kWC6axAyNA/kMYi1BqYszHvYedAPl6zu0+Y/jwvvTrP4OYpOft2krqfJ5q+vTNqBeu\nYPuOnaiHTWGjUlNgxzA4Oh9Kdocac8G7AERugUNvQeWRxobs82tg39vQ7FM4WQC2T4Gn7GzMPv8X\nnN8FT4+HPMXgyFo4/zes2WeE0grMD1Ueg3+3wFdhUNbC8L6vH6r9AK4XKUXz1s9z6sghu5vd+/bu\niZrzHRtGNORGpw/h4advpddJSgQPTxJWhpISOdLi3jJzVEoKyV//SO/FP9i+13R4e3vTvn172re3\nPNcYExPDUy1b4DegHfnf641SCjV4Ahcf60Dgu30IeOkZxNcYMUr5L5LYOT+RMGkus6ZMpVChQjzy\neD38+reh3Iwf8cp7a1FMakIiUUt+pVu/Pnh4evDC8y9Y1fjkk0+yYflKXnqlC/8V+ppcvdvgXb4k\nKiGRpPXbiZ6/ltbPPcd3q2bzxx8OBubW3B0uXFCilIoz7VmbISIhGAtMhmJkdUFECgPRSql44LZf\nfyKSAlxSSl22VUeO3efmbO6nfW62SEhIoFTpSlyK+hDlYSP5ZOpx/D2f4Ndfl1GvnusSLRQuUY7/\n6m+AwPKwzRQ6q84KyJUuL9y2x+CBHlCgAWxpCJ3XGAlLo0/Dt/Wh8Rh4xErcwv/24zWvCfmCAvDK\n5U3e4Hw0b1Sf6V/NIXHBWfA1pUuZ1AvKlYMethdrAAS8/RLj2zRmwADrETXSSE1N5dtvv+OjSVOJ\niIrBs2wNSE0h6dCfVKtaFR8fD/4pWwBVvgwJW3ej4hLxLJqPgJdb4vNU/ZuLNGK/XkrhWcvY/+cu\np2yuT2P6jOmM2biC/Ms+vXlOKcX1NVu48sVS4ncdwKtcSUhOIenISSpWrMiSb+dSoUIFylaphO9H\nPQnu3Nxq+bF/HeJ8i2Hs3LKNSpVsL1BJSUlh/fr1zJo/l3MXL+Dj40ODOnUZ8GofSpfOcakacwwu\n2ef2mZOel0OtbuL2A2YAL2JkgZmolJpsei8V6G5pL5uInAZGuu0mbmejndst9u3bxxNPPE1M3Ouk\negwA85jVKhVSf8bPqzcTJ4ykf3/L2Y+dRc3aDdhb4F1jDm1rP2jwF3hZWBIfcxC2N4K8NaDi49Bo\n9K33Lh+Gxc8aqyEf7Q8PPGWE37p0AM+d0/A+uoovp0+l6yu3O/MWL7TjN48SJL46CWJjoGspWH4E\n8llfZn+TnZsoM3UwJ/bvdfhelVKEh4dz8uRJPD09qVy5MuXKlaPfoNf56us5UL81PNYWfPzh4jFk\n49eIiiXf3I9IPXaa5OET+CNsM5UrO5jp3EHKVa9K8pRBBDR51OL7Sef+I/nMRfDyAg+IbD6YS2fP\nsWDBAkaumEeR1ePt1nHpgzk0j/Bkzowv7dpqMo9LnNsnTnpevu1cbY6inVsWkBP3uhw7dox+/Yez\nZUsY4tWW+PiSeMgB/Hz+pkiR3Hz+2Qe0bt3a5TpmzZrN0M/XcyPBAwKbQpl+1o2v/AE7msBr/0Lk\nESjT6NZ7yQlGxP+/ZkLEbkhJAv8CFMzjxd6//qBIkYzpXK5evUrtJxpytsKTJDboADMHwFIHnVVS\nEh6P+xkZrW30omz97VNTU2nX+RVCj0YQO3Qh5DVzqlcjjFQ8+7fB2ukULFyATes32IzKcSckJSXh\n6+dHxcQdxG75m4BGFmJ+puN8uefZueFX2nTuQMKHrxD4jP2efdL5S5ys1pWLp89kajuFJXLi98ka\nbh1+a5yTnpcjsse56QUl9ynlypXj59CfOHpkD+PH1WDk2yn07B7Ez6FzOXrk7yxxbABdunRGXdgC\nZzdACRvDpGBk4g6uZMyZpcfLB6p3hu5b4a0YeDce+h0k+upli44NjAUff/2+hecCruH1XgtIspFU\nNIMWDxSGg7pTvvnmW0L3/kvsyNW3HNux3TC+I/SpBBu+gkunoVRVLl26ytwF3xMTY32Rx52QlJSE\nRy4vhyOMAHh65yIhIYEju/8hdxP7zhAgV7GC+BYvyPHjji+e0WjuBt1z02Q7X3/9Nb37vwXP2Fn1\neOV/cGwo9N7uWMHJCXh8mpuUZNvRLLZt28bTzz5HfHIy/HwB/B3oWRzeDT0b0KVjR0YMH5LpoUKl\nFOWrPcTxThOgVjPj5J9rYVJ36DACng6BALMgv6f247XkQx64cpj//fYLBQoUyFR9tnTkyZ+PouEL\nyFXa+mbvNFJvxHGq2DOc/vcYhYsUoUbSVocd47laPVg3ex61azvmEDWO45Ke2wdOel6+r3tumvuU\n1q1bk8sz1X72bt9iEH3cGHJ0hMjD5Ctc3KZJamoq7buGED9oHtR8CtYvdKzsH7+EVv1YrMpQ54mG\nrFu3zrHrTISHhxMRfR0eamqcOLnPcGzvr4HnX7/dsQGUrkry8EWcrNSMZq1fsJmZOjOICF27diVm\ntmMxRK8tXE+Dxg0pWLAg+YsVIeGQYxv8U+MTuHHqAsWL2/57aHIQOhO3xh7ustclu3QWKFCA/Pnz\nw1U7S7z9y0DuB+HwSjgZZrdcn72z6dW9q02bX375hRiv3FCnFTw7EL79BK7aXGEMR/bArz/AC6+T\n0mkEN0at4qWXuxEeHp7B1Fqbnjp1Cs8Hqt/aFvDTRGg7DCrVtV6vCEldP+ZoxFU2bdpkW2MmGNS3\nH9e/WkH0klCbdilRMcROWMCw/gMB6NmtO9dmORZvM2rpRmo/WoeiRYvetV53+T6Be2m919DOTZPt\neHh4MGRwP/wuTLdvXHIAbB5lLCCxReRRZP9CBvR71abZNwsWc71xTyM6Ss2n4IlO0PcpOHPM8gXh\nW+G1FjBgBuQ3DeNVfoy4TqMYOfZj+/pNeHp6QorpZ+21SPhjBTTraf9CDw+uN+/PhGk2gzNkikqV\nKvH+O+8SNXTyzQzY6UmOiORyi0F0eKYlTz9t5ALu/2ofohaEEn/Ydu8tJfo61z7+nuEDBjlNsyYL\n0D03jT3cZWVXdurs1asH/te3wLnvbRumxuIdF4HfXxMh3koIrUsH8P+hGZ9/+gklSthOTHr2YgQU\nNks20WUsPNkdXnkUBjSHNfNg8ypjGLJbPXi3Cwz8Ehp1MOyVgvCNqJP72fDzr3TuFsLatWtJSTFC\nnFlr06pVq5J0eKexiOXEHnigJgQ5OI/2aCt2OHkj8/A3hjB+xCgu1u1OZLu3iFkZRtyOf7i+4Xeu\nhHzA2QdfpPfTrZg5eerN1aGlSpVi8qcTONdsCHF7jlosN+liJOdbDKNdk2a0bNnSKVrd5fsE7qU1\nA0lOemUTekGJJsewb98+nmz8DDH5upBcaiD4mTmm2NN4nZ5CYNRSwjauY9rMr5g3fwFU60xChRfB\nJxCunSXg4Heok5uZNvlzevTobrfOps+1ZWPljvBEuugd8TdgQGUoUwW8ckHuYCObdt2W4GkK7LNz\nA3z5Onh6w5MvQ2AhuH6FPDsW43vjEl9M/JT27a2n46nXpBl/PNLNKHv1NBiz3rGGir5EwIDKXL9i\nZ/j0DoiJiWH+gvnMX76MqKgocufOzQvNW9C7R0+r4bPmf7+AAa8Pxr92ZXy7NSdXsQKkRF8n/ocw\nolZtY9CggXw0eozOq+ZCXLKgZJiTnpcT9T43l6L3udknJ+g8e/YsY8aOZ8H335MruCbKuwCSeInk\nqH/o+sorvDfiTYoVK0ZYWBjly5dn+szZrAn9jRuxN8ifLz89X36Jl1/u4vBeqgkTP+P9DXuIG2Qh\n2EH/B2H0CihlYSXk5h9g5iAYOA9qNM0Y9PnQ//Cf2pFXO7/EpM8/y3g9EBoaStvurxLbfzbMGgSz\nDtlPbApwaAclZ/Xg9GHHAjg7yt38/ePi4li6dCnzf/qBy1eukDsggOeeeppePXoa86k5RGdW49b7\n3N5w0vNyUvY4Nx1bUpOjKFGiBLO/nMbnEz9m27ZtREdHExQURIMGDQgICMhg+/G4MXw8zk5cSRv0\nCOnOqA/LQ9R/t2+iBggsAJfOZHRu/52Gaf1g9EYoYyUDeKX6xI7axIy3a9MjpDvVq1fPYNK8eXPe\nHTyAcVP7EpcK7N8K1ezn2fP95St6d+3i4B1mDX5+fnTr1o1u3bpltxSNs8jG+TJnoHtumvueQUPf\nZM6mv4h9Zw34mOWHWz0Fjv4B7y66/YJv3oXrsdBjst2yPX8YQ5fc55n7lfWwU4sWL6H/4NeJKlge\nPg4DW+lczh3Fd9ijnDxyyKUBrTXuhUt6bgOd9Lycpve5aTTZwqRPP+aZB4sSMKoh/L0B0qKONO4G\nuzbA2SO3jJWC0DnQ3EaYMDNSmvZm6ZLFxMVZSXkDdOrYgYunT1I5Vxxek7oa2QIsce4I/qOb8/n4\n8dqxaVyPXi2psYe77HVxF51wZ1qjoqI4fPgwJ06cICnp1jIuT09Pfvh+HlOH96XcsncIGFCewPGt\nCZrWBS+VgsdbTeC8aWtA7DUjk3fxBx2r9NxhPHPn5eJFGwlLAR8fH3Zu28xTgfH49ymH55KxcGIv\nXDgGezbhP+kVfIfVZdLod+nX1/b2hjvFXf7+7qIT3EtrBtx8taSec9Pc0yil+PXXXxk/aTrbNm8i\nV2AhVHICXiTRt3cvBg7oS/HixfHw8KBHjx6EhISwZ88eTp48iZeXF1WqTGND6C8MGvAwKU92gKZd\nIbOjNQ4OhwcEBLBhxTL27NnDZ9Nm8NuUjiTEx5G/QEF6delIjyVTyJcvX+YbQaO5D9Fzbpp7ltTU\nVPr0H8SilT9zo85wqNEZvE2LUv47gE/4THwO/cDalT/yxBNP2CzrmefbEXpOwZk9cPU8jN8JpRyI\n0B95Fr/hNbhy8Ty+vr5OuCuNJiMumXMLcdLz8ls956a5D0lKSuLcuXOcOXOG+Ph4p5Y9/O2RLPwl\nnBshO6F271uODaBQFRKaT+Nay7m0eK4tBw8etFlWntx5oGZL+PRfaDEMQmc6pMHzl9l07tRZOzaN\n+6Hn3DT2cJdx96zUefLkSV4f8ib5ChSjYpU6VKpej+D8Rega0oe9e+3nVLOn9cKFC0yfOZPYdivB\nN8i6Yfnm3Hh0OG+/96HN8uo+XB2/o5uNg0Z94Pcl8O9O2yLPHsRr/VSGDLSfrftuSE1N5dKlS5w9\ne9bmwhV76M+p83Enrfca2rlpspxVq1ZRtUYdZqxRXH9oO7GPnye2/lniHzvEwu0leeyJZkyZ8sVd\n1fHl7K+Rah0gwH5IK1WrNz+HriciIsKqTUj3bqjwVRBzGfIVh57fwLhW8OfKW6srbxaoYM8v+H3Y\nlNdf60+VKlXu6l6sERkZySfjP6Vo2fKUrPggD9Z+lLwFCtKmY2e2bdvmkjo19xFu3nPTc26aLGXL\nli0806odcdXXQZCVvF6xJ/Hf24QZkz6gW7dX7qieqrXqc6DmOHigsUP2eZa/yKw329GpUyerNj36\nDmDxnv+I67MYPDzhYBgsegPiY+DJLpC3MMREwqbvyKPiWThnFq1atboj/fYIDw/nqZatiK/blLgO\nA6B6HSO6SfRVZNU8/BZMoke7F5n6+USbmcI19wYumXNr56Tn5Y86/JZL0c4tZ1DtoXrslzegaHvb\nhtHhBB16lv8unMLb2zvT9ZR5sAanmsyDog85ZO+/rjefh9SmT58+Vm3i4+Np0uI5dt8IIO6liVC4\nvNFLO7YD/l4Bl0/ideJPHi5fgt/DNpIrV65M63aE48eP83C9+lx7+wto3s6yUdQV/Pu3YOBzzfnk\nwzuP4KJxD7Rzy4gelswC3GXc3dU6//77b06cOg9FXrRvHPQwqX6VWLFihcW37WkNCsoLN/5zWJtn\nbATBwcE2bXx9fQkLXcuAJlXJ/Ul9ck9ujseyEXiGryDP6T8IOrGFkQN7sX3LppuOzRVtOmLMWG68\n1M+6YwPIm4/YaauZPG2a3T12aejPqfNxJ60ZSHHSK5vQzk2TZaxbt46E/O1BbISXMiMmbyeWLlt7\nR3W93L4NfgftpM9J4/p/JJ3YejNPmS28vb2Z8Mk4Lp07zVdvhjCmbgAf1g/iu9GDuHT2FO+PfNfI\n1WYBpdRtm8fvhCtXrrBixXJSOjqwSCV/IaR5e7786uu7qlNzn6Ln3NwDPSyZ/QwZ+iaT1uSHcm85\ndsHFZTQuuIDfQpdnuq7IyEhKlClP/Kt7IaikTVuPTaPoWOo83891vhNISkpixYoVjJ88g/Ad21Ao\nfP1z065de4YM6s9DDzk2bJrGsmXLCJn+LTFfrHHsgp2bqfTFWxzc6dz8b5qchUuGJZ9z0vNytR6W\n1Nzj5M8XhFeK40OFJF4mf7CNgaS+0AAAGoBJREFUZfy26sqfn9GjRuK/5FmIuWDdcO9CAvfP4aMx\n791RPba4cOEC1WrVpceoqfxVqS+pn8WgpiQR9/Z+FkaW4vGmLRk0ZDip6Vdb2iA6OprUYMt51SwS\nXICYmGt3oF5z3+PmPbcc69xEJFREetixmSUiqSKSYvZvjstl7y7j7q7W+dxzz+F9eQmkOvaJzxP1\nPZ3at7b4niNa3xw2hGG9O+A3pxaem8fccnJKwYlNBCx/iQL/e4etv4VSunRpR2/jJqmpqWzcuJGp\nU6cyadIkVqxYQWKiEfQ4Ojqa+o2f5t/cNbj+2hZ4pAPk8jVWNOYtTkrzkcS+9Q9z1mxl+NsjHK4z\nKCgIj6uXHBd59TJ58gQ6ZKo/p87HnbRmQMeWdC5irFueCjQFltgxrwIMBcwnV/TP1BxKjRo1qFD+\nAfZcXArFOts2jtqJV8JxWre27NwcQUT44P2RtGvbhknTZrJwxoMoICUpgRJlKjB8cH9eeWUOgYGO\nPfzTUEoxc+Ysxk74jBjxJ6n8kygPT3zOrUJ692VA3z54eggXg2uS+mg36wlIA/IR22sNMz6qTP8+\nvShXrpzduhs3bkxSz14Q+R/kL2TX3nft93Rs7ZrtCBpNTiZHzbmJSDFgAfAAEAgMV0p9Y8P+MtBW\nKbXFgbL1nFsOYPv27TRt3obYqisguL5loxtH8d/blDkzP6Vjxw63vZWQkMBPP/3ET6tDiYqOoVD+\nYDq1f54WLVpYXciRRmpqKjExMfj4+NxxOCylFD369Gfpb38S234alKt3u/M6fxDf5cNJOrSNlEFh\nUNL+nFqulW/Sr6piyucTHNLQOaQnS/xLkjpgtG3DyxH4tK7EyUMHKVKkiENla9wTl8y5NXbS83KT\nnnMDqAWcBh7BTg9MRAoDwcDhLNClcRL16tVj2dJ5BBx4Hp+jr0HM/ltvxp3G69gI/MIf57NPRmZw\nbLO/mkOhYqXpM2oOP16sz6+pHVl46iE6D/iQoiXLsWrVKpt1e3h4EBQUdFdxHj+fPJWlm3YR+0YY\nlK+fsVdWrDLxzd4hJXchhxwbQFKdriz+8SeHNYx9bwR5ls2C0B+sG0VdwX/gc7wxaJB2bJo7Q8+5\nOQ+l1BqlVHel1BUHzKtg7KIYKyJnRWS3iOTIHPfuMu6eVTqfeeYZDh8IZ1jHAuQ98DQ+YcH4bMmP\n/66H6NX0BuE7t9K3T+/brvnokwm8MXI815r/QkyLXyFvRajwEtR8jZg2O7hUbx4du/Vl4cJFVmq9\ne5KTk/no04nEdvkK/PJYN4yLhvwPGP8/Ema/4MCiXI++6rCOsmXLsmn9OoInvI7fu11hzx+30upE\nX0XmTsK/Qy16Nm3IRx+Mdrhc/Tl1Pu6k9V4jS+fcRMQHKGHl7Qil1PVMFFcZSAXCgSlAY2CWiFxX\nSi27O6UaV1O8eHHGfjiaMR+MIioqipSUFIKDg/HyyviR3LFjB+M+nUzs839C7uJWCnySuBah9Orb\niCeeeJxSpUo5XfPatWtJCi4Fpez0yHxyGw7OUeKj8fEPsG9nxsMPP8y/+/7h6znf8Pm7XYi6egUP\nH19SrsfQss3zDFuykPr1rQz7ajSOkI29LmeQ1QtKagNbsZzuMQSY52hBSqkZIjJfKRVjOrVPRCoA\n/QCLzq179+6UKVMGgLx58/LQQw/RqFEj4NYvLFccN2rUyKXlO/M4jaysP1++fDbfH//ZNGJLtIGo\no7c7t7NhUKLRrf8DKRW6MH3mbFo0b+p0vcuXL+d6uSZGfYeM96nUKONxmdpw8SDsWgy1Oxrn03pw\nFRtlOPYI/4GHa1QnLCws0/reHD6MYUOHsHr1apKSkmjVqpURSSUs7I7KSyOnfB7d/fvkquPJkyez\ne/fum88zTUZy1IISc0TkBPChrQUlFq7pBwxSSlW28J5eUOKGXLt2jUJFS5LQ5QT4OpCF+spBgjY0\nIeqyjb1td8i7I0by8X5vaD3KvvHiIZAq0PYz23ZJCQR8XInNa3/kkUcecY5QzX2HSxaU1HbS83KX\nXlCSKUTkMxFJH6ahFnAoO/TYIv2v4pxKTtR57tw5vAOLZHRspp5aBoIrcf3a1bvKa2aN0qVK4n/J\ndlLTmzR7A7Z/C2tHW7dJScJ3YTca1qudIxxbTvz7W8JddIJ7ac2Aji2ZdYhIARFJm5xYDjQTkYEi\nUlZEXgNeBj7NPoUaZ+Ph4YFSjkfwAFCpKXh4OP+j3b59e1L/2QDXHIiykrcYvr6++G2bis/SfnB+\n3633UpJhzwoCvmhIveDr/LjQ4dF4jUbjIDl5WPI4MNZ8WNI0VPmtUmqM6bgtMBooB5wARiilVlop\nTw9LuiGxsbEUKFycuJf2WV9MYk7ETgr93oGIs8ddouflkN78cMabxM7TbdpJ2JdU3vctG9etZNr0\nmcyY9RXJuQLw8A0gMfIcFSpU5M3B/ejYsaPFRTQaTWZwybBkdSc9L//R+dxcinZu7kuP3v2Zv78w\nybXft2vrtzmE9zpV5p2333SJlqtXr1KrXgPOl29FYusPwStdzjalkG1zyLNmJDt/30LFihUBI4Dy\nsWPHiI2NpWDBgpQsaTuYs0aTGVzi3Co76Xl5UM+53bO4y7h7TtU57I3X8D4wHSLNhvYszbmd3YTn\n6bX06hniMi3BwcHs3BbGo/G78RtRBs9Vo+HARjgUhvw6hdwfVKHsn9PYsTWMihUr3mzTXLlyUalS\nJWrVqpVjHVtO/funx110gntpvdfQzk2T46lSpQqzp0/Bb21TOLEa0s/BpSTBwbn4b2zPqp+WULBg\nJqLm3wEFChRg668b+HNTKCHFInn4j3HU2Po+L8rfrF0wi6P7dlOpUiWXatBoXI6bB07Ww5IatyE0\nNJTXhrzDhUvRxJZuj/IOxjP+It7HF1OpYgVmfTGROnXqZLdMjSbLccmw5ANOel6esKxNRLyBL4B2\nQDwwSSllMcCqiIQA7wLFgb+AIUqpnbaq1c5N41Yopfjzzz9Zv34DUdeuUzB/Xtq0aUO1atWyW5pG\nk224qXObCjQEugElMYLm91ZKLU1n1xRYBXTFcGyvma4prZS6Ya1aPSyZBbjLuLs76BQR6tatS6NG\nDZn8+QRGjBjhMsd2/vx53nv/AypWr02R0hUoX7UWb70zkjNnzjhchju0aRruotVddIJ7ac2ACwMn\ni4g/0At4XSm1Wym1GmMb12sWzAsDo5RSPyqlTmCskM8HVLclXzs3jSYdSineGfk+ZR+syoTQixx9\nZDIRLddw7NEvmLL5GhWq1GTwkDczlUFbo3E7XJsVoCbgDfxudm4bUMeU0/MmSqnvlVITAUTEDxgC\nRAD7sIEeltRo0jF4yJt8/VMYsW1XQ+7CGQ3iruC/vA0dmlRnzqzpiLVkpBpNFuGSYcmiTnpeXsio\nzbRH+UulVCGzc5WA/UAxpVSEBU3NgPUYsYm7KKVsJrPWPTeNxowdO3bw9bzFxLZbb9mxAfjlI/bF\ntSxd9QubNm3KWoEaTVbh2tWS/kBCunNpxz5WrtkNPAx8AMwVkUdtydfOLQtwl3F3d9EJrtM6ccoM\n4msNAv/8tg19ArnxyBA+nTzDppluU+fjLjrBvbRm4E5jScaHwfXRt16WiSejE0s7jrV0gVLqP6XU\nXqXUh8AmoK8t+dq5aTQmkpKSWLViGak1HNwEXu1lNv0aSkxMjH1bjeZ+IVcj8Bt962WZc0CwiJjH\nniuC0Xu7LVm1iDwmIjXSXX8AKGBLhp5z02hMXLp0iZLlKpHweqTD1wR8WYZ/dmzigQcecKEyjcY2\nLplzy+Ok52WMxTk3P+Ay0EIptcV07j2gmVKqQTrb+UCgUqqN2bkwYIdS6i1r1eqIrRqNCR8fH1KT\nEkApcHCRSGpiHD4+1qYINBo3xoWZuJVScSIyD5hh2qBdFBgK9AQQkcJAtFIqHpgBbBaR/sDPQHeM\nubdOturQw5JZgLuMu7uLTnCN1jx58lC4WEk4vdWxC87vIiDAj8KFrSw8QbepK3AXneBeWrOBIcBO\nYCOGAxutlFpmeu8C0B5AKbUdeAnoD+wFmmL08GxmJNY9N43GhIgwfHB/3vlmOrGln7Rr77tnJq8P\n6Iunp2cWqNNoshgXx4VUSsUBIaZX+vc80h2vBCymM7OGnnPTaMyIjo6mfOUaRNYdi6r+inXDgz8R\nvHkgh/fvdnmgZo3GHi6ZcxMnPS9V9qS80T03jcaMoKAgwn5ZR4Mmzbl2eT8ptQdBnmK3DK5H4PH3\nTPLsm8WvP6/Vjk2jyaHoObcswF3G3d1FJ7hWa9WqVdmzaztdK1/Db041An9sRu51LxO4rAW+X1Wi\nU5lzhO/8H7Vq1cpWnc7GXbS6i05wL60ZUE56ZRO656bRWKBkyZJ8M3sGkyd+QlhYGFFRUQQGBtKo\n0SLy5s2b3fI0Go0d9JybRqPRuDkumXNzWrcre+bc9LCkRqPRaO45tHPLAtxl3N1ddIL7aHUXneA+\nWt1FJ7iX1nsN7dyygN27d2e3BIdwF53gPlrdRSe4j1Z30QnupfVeQy8oyQKioqKyW4JDuItOcB+t\n7qIT3Eeru+gE99KaERfv4nYxuuem0Wg0mnsO3XPLAk6ePJndEhzCXXSC+2h1F53gPlrdRSe4l9aM\nuDBychZwX20FyG4NGo1G4yqcvxUg2kmlBenwW64kOxpXo9FoNNnDfePcNBqNRpMZ3HtYUjs3jUaj\n0VhAr5bUaDQajSZHoZ2bCxGRUBHpYcdmloikikiK2b+DskqjSYMjOkuJyM8icl1E9ovIM1mlz1T/\nOBGJEJFIEZkgIlbnULOyTUXEW0Rmi8gVETkvIsNt2NYUkf+JyA0R2SkitV2hyUlaQy20Yess1usj\nIv+ISBMbNtnapmY6HNGa7W2aOZKc9Moe9LCkCzA9eKdipENfYse8CjAU+N7s3DUXSbuNTOpcBewD\nagNtgGUiUkUpdcq1KkFEhgCvAG0BT2AhcAn41MolWdmmE4G6QBOgJLBARE4ppZaaG4mIP7AOWISR\nebgvsFZEyiqlbrhI2x1pNVEFaA9sMTt31fUSDUTEB6OtqtiwyQlt6pBWE9nappnHvef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      "text/plain": [
       "<matplotlib.figure.Figure at 0x1130b0ed0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Component labels\n",
    "in_labels = ['M', 'S', 'V0', 'k', 'P0', 'Ta', 'T0']\n",
    "\n",
    "#plot eigenvalues, subspace errors\n",
    "ac.utils.plotters.eigenvalues(ss.eigenvals, ss.e_br)\n",
    "ac.utils.plotters.subspace_errors(ss.sub_br)\n",
    "\n",
    "#manually make the subspace 2D for the eigenvector and 2D summary plots\n",
    "ss.partition(2)\n",
    "#Compute the active variable values\n",
    "y = XX.dot(ss.W1)\n",
    "\n",
    "#Plot eigenvectors, sufficient summaries\n",
    "ac.utils.plotters.eigenvectors(ss.W1, in_labels=in_labels)\n",
    "ac.utils.plotters.sufficient_summary(y, f)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.11"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
